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305324478096 = 2431116714472393
BaseRepresentation
bin1000111000101101100…
…00011100111010010000
31002012002120212112120120
410130112300130322100
520000301031244341
6352133015110240
731026140146161
oct4342660347220
91065076775516
10305324478096
1110853a787520
124b210672380
1322a3ac78a71
1410ac6349768
157e1ed5c066
hex4716c1ce90

305324478096 has 160 divisors (see below), whose sum is σ = 866572535808. Its totient is φ = 91866577920.

The previous prime is 305324478083. The next prime is 305324478119. The reversal of 305324478096 is 690874423503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127589476 + ... + 127591868.

Almost surely, 2305324478096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305324478096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433286267904).

305324478096 is an abundant number, since it is smaller than the sum of its proper divisors (561248057712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305324478096 is a wasteful number, since it uses less digits than its factorization.

305324478096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 305324478096 in words is "three hundred five billion, three hundred twenty-four million, four hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 264 334 501 528 668 1002 1336 1447 1837 2004 2393 2672 2894 3674 4008 4341 4786 5511 5788 7179 7348 8016 8682 9572 11022 11576 14358 14696 15917 17364 19144 22044 23152 26323 28716 29392 31834 34728 38288 44088 47751 52646 57432 63668 69456 78969 88176 95502 105292 114864 127336 157938 191004 210584 241649 254672 315876 382008 399631 421168 483298 631752 724947 764016 799262 966596 1198893 1263504 1449894 1598524 1933192 2397786 2658139 2899788 3197048 3462671 3866384 4395941 4795572 5316278 5799576 6394096 6925342 7974417 8791882 9591144 10388013 10632556 11599152 13187823 13850684 15948834 17583764 19182288 20776026 21265112 26375646 27701368 31897668 35167528 38089381 41552052 42530224 52751292 55402736 63795336 70335056 76178762 83104104 105502584 114268143 127590672 152357524 166208208 211005168 228536286 304715048 457072572 578266057 609430096 914145144 1156532114 1734798171 1828290288 2313064228 3469596342 4626128456 6360926627 6939192684 9252256912 12721853254 13878385368 19082779881 25443706508 27756770736 38165559762 50887413016 76331119524 101774826032 152662239048 305324478096