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10170064432 = 24114110311367
BaseRepresentation
bin10010111100010111…
…01101111000110000
3222020202202210200001
421132023231320300
5131312014030212
64401055435344
7510011056423
oct113613557060
928222683601
1010170064432
114349810a30
121b79b25b54
13c60cc2c08
146c69919ba
153e7ca2657
hex25e2ede30

10170064432 has 80 divisors (see below), whose sum is σ = 22057588224. Its totient is φ = 4502336000.

The previous prime is 10170064427. The next prime is 10170064453. The reversal of 10170064432 is 23446007101.

It is a self number, because there is not a number n which added to its sum of digits gives 10170064432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7439013 + ... + 7440379.

Almost surely, 210170064432 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 10170064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028794112).

10170064432 is an abundant number, since it is smaller than the sum of its proper divisors (11887523792).

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

10170064432 is a wasteful number, since it uses less digits than its factorization.

10170064432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10170064432 in words is "ten billion, one hundred seventy million, sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1031 1367 1804 2062 2734 3608 4124 5468 7216 8248 10936 11341 15037 16496 21872 22682 30074 42271 45364 56047 60148 84542 90728 112094 120296 169084 181456 224188 240592 338168 448376 464981 616517 676336 896752 929962 1233034 1409377 1859924 2466068 2818754 3719848 4932136 5637508 7439696 9864272 11275016 15503147 22550032 31006294 57784457 62012588 115568914 124025176 231137828 248050352 462275656 635629027 924551312 1271258054 2542516108 5085032216 10170064432