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98117854464 = 283720398951
BaseRepresentation
bin101101101100001000…
…1111010010100000000
3100101021000001102221210
41123120101322110000
53101421132320324
6113024050050120
710042311000510
oct1333021722400
9311230042853
1098117854464
113867aa75323
1217023579940
1393388ba866
144a6b0c3840
152843da6d29
hex16d847a500

98117854464 has 144 divisors (see below), whose sum is σ = 298621532160. Its totient is φ = 28016793600.

The previous prime is 98117854423. The next prime is 98117854489. The reversal of 98117854464 is 46445871189.

It is a super-2 number, since 2×981178544642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10957189 + ... + 10966139.

It is an arithmetic number, because the mean of its divisors is an integer number (2073760640).

Almost surely, 298117854464 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 98117854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149310766080).

98117854464 is an abundant number, since it is smaller than the sum of its proper divisors (200503677696).

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

98117854464 is a wasteful number, since it uses less digits than its factorization.

98117854464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 11002 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 98117854464 in words is "ninety-eight billion, one hundred seventeen million, eight hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2039 2688 4078 5376 6117 8156 8951 12234 14273 16312 17902 24468 26853 28546 32624 35804 42819 48936 53706 57092 62657 65248 71608 85638 97872 107412 114184 125314 130496 143216 171276 187971 195744 214824 228368 250628 260992 286432 342552 375942 391488 429648 456736 501256 521984 572864 685104 751884 782976 859296 913472 1002512 1145728 1370208 1503768 1565952 1718592 1826944 2005024 2291456 2740416 3007536 3437184 3653888 4010048 5480832 6015072 6874368 8020096 10961664 12030144 16040192 18251089 24060288 36502178 48120576 54753267 73004356 109506534 127757623 146008712 219013068 255515246 292017424 383272869 438026136 511030492 584034848 766545738 876052272 1022060984 1168069696 1533091476 1752104544 2044121968 2336139392 3066182952 3504209088 4088243936 4672278784 6132365904 7008418176 8176487872 12264731808 14016836352 16352975744 24529463616 32705951488 49058927232 98117854464