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90737353356 = 223136117355117
BaseRepresentation
bin101010010000001011…
…1100010001010001100
322200012122100010202220
41110200113202022030
52441312230301411
6105403440215340
76361361530536
oct1244027421214
9280178303686
1090737353356
1135532963631
121570390a550
13873080c640
14456abda856
152560e7bb06
hex15205e228c

90737353356 has 96 divisors (see below), whose sum is σ = 233088289728. Its totient is φ = 27302261760.

The previous prime is 90737353331. The next prime is 90737353361. The reversal of 90737353356 is 65335373709.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90737353299 and 90737353308.

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, 1618710 + ... + 1673826.

It is an arithmetic number, because the mean of its divisors is an integer number (2428003018).

Almost surely, 290737353356 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 90737353356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116544144864).

90737353356 is an abundant number, since it is smaller than the sum of its proper divisors (142350936372).

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

90737353356 is a wasteful number, since it uses less digits than its factorization.

90737353356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55371 (or 55369 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 51.

The spelling of 90737353356 in words is "ninety billion, seven hundred thirty-seven million, three hundred fifty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 173 183 244 346 366 519 692 732 793 1038 1586 2076 2249 2379 3172 4498 4758 6747 8996 9516 10553 13494 21106 26988 31659 42212 55117 63318 110234 126636 137189 165351 220468 274378 330702 411567 548756 661404 716521 823134 1433042 1646268 2149563 2866084 3362137 4299126 6724274 8598252 9535241 10086411 13448548 19070482 20172822 28605723 38140964 40345644 43707781 57211446 87415562 114422892 123958133 131123343 174831124 247916266 262246686 371874399 495832532 524493372 581649701 743748798 1163299402 1487497596 1744949103 2326598804 3489898206 6979796412 7561446113 15122892226 22684338339 30245784452 45368676678 90737353356