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10057720332 = 22311414494139
BaseRepresentation
bin10010101110111110…
…01010001000001100
3221221221101010112110
421113133022020030
5131044234022312
64342003504020
7504145132542
oct112737121014
927857333473
1010057720332
1142a1359170
121b48388010
13c4394990a
146b5aa9d92
153dceb043c
hex2577ca20c

10057720332 has 96 divisors (see below), whose sum is σ = 26290656000. Its totient is φ = 2966118400.

The previous prime is 10057720327. The next prime is 10057720333. The reversal of 10057720332 is 23302775001.

It is a self number, because there is not a number n which added to its sum of digits gives 10057720332.

It is not an unprimeable number, because it can be changed into a prime (10057720333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427919 + ... + 2432057.

It is an arithmetic number, because the mean of its divisors is an integer number (273861000).

Almost surely, 210057720332 is an apocalyptic number.

10057720332 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 10057720332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145328000).

10057720332 is an abundant number, since it is smaller than the sum of its proper divisors (16232935668).

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

10057720332 is a wasteful number, since it uses less digits than its factorization.

10057720332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 10057720332 in words is "ten billion, fifty-seven million, seven hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 449 451 492 898 902 1347 1353 1796 1804 2694 2706 4139 4939 5388 5412 8278 9878 12417 14817 16556 18409 19756 24834 29634 36818 45529 49668 55227 59268 73636 91058 110454 136587 169699 182116 202499 220908 273174 339398 404998 509097 546348 607497 678796 809996 1018194 1214994 1858411 1866689 2036388 2429988 3716822 3733378 5575233 5600067 7433644 7466756 11150466 11200134 20442521 22300932 22400268 40885042 61327563 76194851 81770084 122655126 152389702 228584553 245310252 304779404 457169106 838143361 914338212 1676286722 2514430083 3352573444 5028860166 10057720332