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90467332332 = 223133771921799
BaseRepresentation
bin101010001000001000…
…1011111000011101100
322122111211020122120020
41110100101133003230
52440234114113312
6105320552522140
76351602431326
oct1242021370354
9278454218506
1090467332332
11354044a5863
12156493b0350
1386b98aa0a0
144542dcc616
1525473e078c
hex151045f0ec

90467332332 has 96 divisors (see below), whose sum is σ = 233807616000. Its totient is φ = 27044865792.

The previous prime is 90467332327. The next prime is 90467332357. The reversal of 90467332332 is 23323376409.

It is a happy 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, 4139169 + ... + 4160967.

It is an arithmetic number, because the mean of its divisors is an integer number (2435496000).

Almost surely, 290467332332 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 90467332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116903808000).

90467332332 is an abundant number, since it is smaller than the sum of its proper divisors (143340283668).

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

90467332332 is a wasteful number, since it uses less digits than its factorization.

90467332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22575 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 42.

The spelling of 90467332332 in words is "ninety billion, four hundred sixty-seven million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 719 962 1438 1443 1924 2157 2876 2886 4314 5772 8628 9347 18694 21799 26603 28041 37388 43598 53206 56082 65397 79809 87196 106412 112164 130794 159618 261588 283387 319236 345839 566774 691678 806563 850161 1037517 1133548 1383356 1613126 1700322 2075034 2419689 3226252 3400644 4150068 4839378 9678756 10485319 15673481 20970638 31346962 31455957 41941276 47020443 62693924 62911914 94040886 125823828 188081772 203755253 407510506 579918797 611265759 815021012 1159837594 1222531518 1739756391 2319675188 2445063036 3479512782 6959025564 7538944361 15077888722 22616833083 30155777444 45233666166 90467332332