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216484181040 = 24352931104049
BaseRepresentation
bin1100100110011101110…
…1100111010000110000
3202200210011011211211010
43021213131213100300
512021324422243130
6243241303150520
721432452114601
oct3114735472060
9680704154733
10216484181040
11838a0749416
1235b58145440
13175504ac15a
14a69948bda8
15597070b0b0
hex3267767430

216484181040 has 80 divisors (see below), whose sum is σ = 694242396000. Its totient is φ = 55738454016.

The previous prime is 216484181029. The next prime is 216484181051. The reversal of 216484181040 is 40181484612.

It is a happy number.

216484181040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216484181029) and next prime (216484181051).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 216484181040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15545065 + ... + 15558984.

It is an arithmetic number, because the mean of its divisors is an integer number (8678029950).

Almost surely, 2216484181040 is an apocalyptic number.

216484181040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216484181040 is an abundant number, since it is smaller than the sum of its proper divisors (477758214960).

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

216484181040 is a wasteful number, since it uses less digits than its factorization.

216484181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31104094 (or 31104088 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 216484181040 in words is "two hundred sixteen billion, four hundred eighty-four million, one hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 31104049 62208098 93312147 124416196 155520245 186624294 248832392 311040490 373248588 466560735 497664784 622080980 746497176 902017421 933121470 1244161960 1492994352 1804034842 1866242940 2488323920 2706052263 3608069684 3732485880 4510087105 5412104526 7216139368 7464971760 9020174210 10824209052 13530261315 14432278736 18040348420 21648418104 27060522630 36080696840 43296836208 54121045260 72161393680 108242090520 216484181040