Search a number
-
+
10362861136 = 2419373073001
BaseRepresentation
bin10011010011010110…
…01011011001010000
3222202012112220000201
421221223023121100
5132210343024021
64432144024544
7514541603065
oct115153133120
928665486021
1010362861136
114438623a51
122012602154
13c91c275c4
1470441ac6c
15409b87591
hex269acb650

10362861136 has 80 divisors (see below), whose sum is σ = 21783952960. Its totient is φ = 4758912000.

The previous prime is 10362861107. The next prime is 10362861143. The reversal of 10362861136 is 63116826301.

It is a super-3 number, since 3×103628611363 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 10362861095 and 10362861104.

It is a congruent number.

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, 3451636 + ... + 3454636.

It is an arithmetic number, because the mean of its divisors is an integer number (272299412).

Almost surely, 210362861136 is an apocalyptic number.

10362861136 is a gapful number since it is divisible by the number (16) 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 10362861136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891976480).

10362861136 is an abundant number, since it is smaller than the sum of its proper divisors (11421091824).

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

10362861136 is a wasteful number, since it uses less digits than its factorization.

10362861136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 10362861136 in words is "ten billion, three hundred sixty-two million, eight hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 307 592 614 703 1228 1406 2456 2812 3001 4912 5624 5833 6002 11248 11359 11666 12004 22718 23332 24008 45436 46664 48016 57019 90872 93328 111037 114038 181744 215821 222074 228076 431642 444148 456152 863284 888296 912304 921307 1726568 1776592 1842614 2109703 3453136 3685228 4219406 7370456 8438812 14740912 16877624 17504833 33755248 34088359 35009666 68176718 70019332 136353436 140038664 272706872 280077328 545413744 647678821 1295357642 2590715284 5181430568 10362861136