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90471771432 = 23327563318841
BaseRepresentation
bin101010001000010001…
…0011010110100101000
322122112010121011212100
41110100202122310220
52440241233141212
6105321232013400
76351655240320
oct1242042326450
9278463534770
1090471771432
1135406a57a39
121564a991260
1386ba7a2783
144543826280
1525479babdc
hex151089ad28

90471771432 has 96 divisors (see below), whose sum is σ = 280529945280. Its totient is φ = 25803083520.

The previous prime is 90471771349. The next prime is 90471771433. The reversal of 90471771432 is 23417717409.

90471771432 is a `hidden beast` number, since 9 + 0 + 47 + 177 + 1 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (90471771433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124332 + ... + 443172.

It is an arithmetic number, because the mean of its divisors is an integer number (2922186930).

Almost surely, 290471771432 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 90471771432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140264972640).

90471771432 is an abundant number, since it is smaller than the sum of its proper divisors (190058173848).

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

90471771432 is a wasteful number, since it uses less digits than its factorization.

90471771432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319423 (or 319416 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 90471771432 in words is "ninety billion, four hundred seventy-one million, seven hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 563 1126 1689 2252 3378 3941 4504 5067 6756 7882 10134 11823 13512 15764 20268 23646 31528 35469 40536 47292 70938 94584 141876 283752 318841 637682 956523 1275364 1913046 2231887 2550728 2869569 3826092 4463774 5739138 6695661 7652184 8927548 11478276 13391322 17855096 20086983 22956552 26782644 40173966 53565288 80347932 160695864 179507483 359014966 538522449 718029932 1077044898 1256552381 1436059864 1615567347 2154089796 2513104762 3231134694 3769657143 4308179592 5026209524 6462269388 7539314286 10052419048 11308971429 12924538776 15078628572 22617942858 30157257144 45235885716 90471771432