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90099816156 = 22337128992459
BaseRepresentation
bin101001111101001011…
…1100001011011011100
322121120012200220011000
41103322113201123130
52434011023104111
6105220303430300
76336520541520
oct1237227413334
9277505626130
1090099816156
1135235aa7489
12155662b5390
13865b7001ac
14450a281d80
152524ee6c56
hex14fa5e16dc

90099816156 has 96 divisors (see below), whose sum is σ = 267172416000. Its totient is φ = 25722555264.

The previous prime is 90099816139. The next prime is 90099816269. The reversal of 90099816156 is 65161899009.

It is a super-3 number, since 3×900998161563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928255 + ... + 1020713.

It is an arithmetic number, because the mean of its divisors is an integer number (2783046000).

Almost surely, 290099816156 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 90099816156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133586208000).

90099816156 is an abundant number, since it is smaller than the sum of its proper divisors (177072599844).

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

90099816156 is a wasteful number, since it uses less digits than its factorization.

90099816156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93768 (or 93760 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 90099816156 in words is "ninety billion, ninety-nine million, eight hundred sixteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1289 2578 3867 5156 7734 9023 11601 15468 18046 23202 27069 34803 36092 46404 54138 69606 81207 92459 108276 139212 162414 184918 243621 277377 324828 369836 487242 554754 647213 832131 974484 1109508 1294426 1664262 1941639 2496393 2588852 3328524 3883278 4992786 5824917 7766556 9985572 11649834 17474751 23299668 34949502 69899004 119179651 238359302 357538953 476718604 715077906 834257557 1072616859 1430155812 1668515114 2145233718 2502772671 3217850577 3337030228 4290467436 5005545342 6435701154 7508318013 10011090684 12871402308 15016636026 22524954039 30033272052 45049908078 90099816156