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98790681888 = 253533737699
BaseRepresentation
bin101110000000001100…
…0100010110100100000
3100102222220002121200000
41130000120202310200
53104310403310023
6113214523100000
710065060640503
oct1340030426440
9312886077600
1098790681888
1138995845548
1217190971600
139415104bb2
144ad25c713a
152882ead243
hex1700622d20

98790681888 has 144 divisors (see below), whose sum is σ = 292213303200. Its totient is φ = 32831640576.

The previous prime is 98790681881. The next prime is 98790681893. The reversal of 98790681888 is 88818609789.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×987906818882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (98790681881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601663 + ... + 2639361.

It is an arithmetic number, because the mean of its divisors is an integer number (2029259050).

Almost surely, 298790681888 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 98790681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146106651600).

98790681888 is an abundant number, since it is smaller than the sum of its proper divisors (193422621312).

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

98790681888 is a wasteful number, since it uses less digits than its factorization.

98790681888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38061 (or 38041 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 98790681888 in words is "ninety-eight billion, seven hundred ninety million, six hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 337 432 486 648 674 864 972 1011 1296 1348 1944 2022 2592 2696 3033 3888 4044 5392 6066 7776 8088 9099 10784 12132 16176 18198 24264 27297 32352 36396 37699 48528 54594 72792 75398 81891 97056 109188 113097 145584 150796 163782 218376 226194 291168 301592 327564 339291 436752 452388 603184 655128 678582 873504 904776 1017873 1206368 1310256 1357164 1809552 2035746 2620512 2714328 3053619 3619104 4071492 5428656 6107238 8142984 9160857 10857312 12214476 12704563 16285968 18321714 24428952 25409126 32571936 36643428 38113689 48857904 50818252 73286856 76227378 97715808 101636504 114341067 146573712 152454756 203273008 228682134 293147424 304909512 343023201 406546016 457364268 609819024 686046402 914728536 1029069603 1219638048 1372092804 1829457072 2058139206 2744185608 3087208809 3658914144 4116278412 5488371216 6174417618 8232556824 10976742432 12348835236 16465113648 24697670472 32930227296 49395340944 98790681888