Search a number
-
+
56202326432 = 2573116214993
BaseRepresentation
bin110100010101111010…
…110111000110100000
312101001211120222222122
4310111322313012200
51410100243421212
641452522523412
74026513615050
oct642572670640
9171054528878
1056202326432
112192082576a
12aa86066568
1353b8a28975
142a12369560
1516de146272
hexd15eb71a0

56202326432 has 96 divisors (see below), whose sum is σ = 130641122304. Its totient is φ = 23290675200.

The previous prime is 56202326371. The next prime is 56202326443. The reversal of 56202326432 is 23462320265.

56202326432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56202326392 and 56202326401.

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, 11253728 + ... + 11258720.

It is an arithmetic number, because the mean of its divisors is an integer number (1360845024).

Almost surely, 256202326432 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 56202326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65320561152).

56202326432 is an abundant number, since it is smaller than the sum of its proper divisors (74438795872).

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

56202326432 is a wasteful number, since it uses less digits than its factorization.

56202326432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 56202326432 its reverse (23462320265), we get a palindrome (79664646697).

The spelling of 56202326432 in words is "fifty-six billion, two hundred two million, three hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1621 1736 3242 3472 4993 6484 6944 9986 11347 12968 19972 22694 25936 34951 39944 45388 50251 51872 69902 79888 90776 100502 139804 154783 159776 181552 201004 279608 309566 351757 363104 402008 559216 619132 703514 804016 1083481 1118432 1238264 1407028 1608032 2166962 2476528 2814056 4333924 4953056 5628112 8093653 8667848 11256224 16187306 17335696 32374612 34671392 56655571 64749224 113311142 129498448 226622284 250903243 258996896 453244568 501806486 906489136 1003612972 1756322701 1812978272 2007225944 3512645402 4014451888 7025290804 8028903776 14050581608 28101163216 56202326432