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10191038832 = 2432139756123
BaseRepresentation
bin10010111110110111…
…01110100101110000
3222022020020102010200
421133123232211300
5131332401220312
64403125155200
7510354254322
oct113733564560
928266212120
1010191038832
11435a637347
121b84b5bb00
13c654579c0
146c9691612
153e9a470dc
hex25f6ee970

10191038832 has 120 divisors (see below), whose sum is σ = 31031857584. Its totient is φ = 3103322112.

The previous prime is 10191038827. The next prime is 10191038833. The reversal of 10191038832 is 23883019101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10191038833) 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, 153523 + ... + 209645.

Almost surely, 210191038832 is an apocalyptic number.

10191038832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10191038832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515928792).

10191038832 is an abundant number, since it is smaller than the sum of its proper divisors (20840818752).

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

10191038832 is a wasteful number, since it uses less digits than its factorization.

10191038832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56247 (or 56238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10191038832 in words is "ten billion, one hundred ninety-one million, thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 312 388 468 582 624 776 873 936 1164 1261 1552 1746 1872 2328 2522 3492 3783 4656 5044 6984 7566 10088 11349 13968 15132 20176 22698 30264 45396 56123 60528 90792 112246 168369 181584 224492 336738 448984 505107 673476 729599 897968 1010214 1346952 1459198 2020428 2188797 2693904 2918396 4040856 4377594 5443931 5836792 6566391 8081712 8755188 10887862 11673584 13132782 16331793 17510376 21775724 26265564 32663586 35020752 43551448 48995379 52531128 65327172 70771103 87102896 97990758 105062256 130654344 141542206 195981516 212313309 261308688 283084412 391963032 424626618 566168824 636939927 783926064 849253236 1132337648 1273879854 1698506472 2547759708 3397012944 5095519416 10191038832