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90529078096 = 24171673176287
BaseRepresentation
bin101010001001111110…
…1000001101101010000
322122200010102122211101
41110103331001231100
52440400420444341
6105331040154144
76353252316202
oct1242375015520
9278603378741
1090529078096
1135436339316
1215666008954
1386c9618842
14454b2a2772
15254ca3a831
hex1513f41b50

90529078096 has 80 divisors (see below), whose sum is σ = 187449002496. Its totient is φ = 42206517248.

The previous prime is 90529078093. The next prime is 90529078139. The reversal of 90529078096 is 69087092509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90529078091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14396265 + ... + 14402551.

Almost surely, 290529078096 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 90529078096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93724501248).

90529078096 is an abundant number, since it is smaller than the sum of its proper divisors (96919924400).

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

90529078096 is a wasteful number, since it uses less digits than its factorization.

90529078096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 90529078096 in words is "ninety billion, five hundred twenty-nine million, seventy-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 317 334 634 668 1268 1336 2536 2672 2839 5072 5389 5678 6287 10778 11356 12574 21556 22712 25148 43112 45424 50296 52939 86224 100592 105878 106879 211756 213758 423512 427516 847024 855032 899963 1049929 1710064 1799926 1992979 2099858 3599852 3985958 4199716 7199704 7971916 8399432 14399408 15943832 16798864 17848793 31887664 33880643 35697586 67761286 71395172 135522572 142790344 271045144 285580688 332827493 542090288 665654986 1331309972 2662619944 5325239888 5658067381 11316134762 22632269524 45264539048 90529078096