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90170194688 = 28774367723
BaseRepresentation
bin101001111111010001…
…1111111101100000000
322121202010010111100022
41103332203333230000
52434132032212223
6105231300113012
76341334002660
oct1237643775400
9277663114308
1090170194688
11352717a6962
1215585995768
1386701720b2
1445157621a0
15252b299ac8
hex14fe8ffb00

90170194688 has 72 divisors (see below), whose sum is σ = 205980649728. Its totient is φ = 38591788032.

The previous prime is 90170194637. The next prime is 90170194721. The reversal of 90170194688 is 88649107109.

It is a super-3 number, since 3×901701946883 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297595 + ... + 1365317.

Almost surely, 290170194688 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 90170194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102990324864).

90170194688 is an abundant number, since it is smaller than the sum of its proper divisors (115810455040).

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

90170194688 is an equidigital number, since it uses as much as digits as its factorization.

90170194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68489 (or 68475 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 90170194688 in words is "ninety billion, one hundred seventy million, one hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 743 896 1486 1792 2972 5201 5944 10402 11888 20804 23776 41608 47552 67723 83216 95104 135446 166432 190208 270892 332864 474061 541784 665728 948122 1083568 1331456 1896244 2167136 3792488 4334272 7584976 8668544 15169952 17337088 30339904 50318189 60679808 100636378 121359616 201272756 352227323 402545512 704454646 805091024 1408909292 1610182048 2817818584 3220364096 5635637168 6440728192 11271274336 12881456384 22542548672 45085097344 90170194688