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213011686152 = 233221401138241
BaseRepresentation
bin1100011001100001111…
…1000110001100001000
3202100211011001211100100
43012120133012030020
511442221442424102
6241504535405400
721250425313026
oct3063037061410
9670734054310
10213011686152
11823795a8631
1235349223860
1317118c53055
14a44a20d716
15581a933a1c
hex31987c6308

213011686152 has 48 divisors (see below), whose sum is σ = 576937780380. Its totient is φ = 71000064000.

The previous prime is 213011686141. The next prime is 213011686159. The reversal of 213011686152 is 251686110312.

213011686152 is a `hidden beast` number, since 2 + 1 + 30 + 1 + 1 + 6 + 8 + 615 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 179035611876 + 33976074276 = 423126^2 + 184326^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213011686159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471752 + ... + 1609992.

Almost surely, 2213011686152 is an apocalyptic number.

It is an amenable number.

213011686152 is an abundant number, since it is smaller than the sum of its proper divisors (363926094228).

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

213011686152 is a wasteful number, since it uses less digits than its factorization.

213011686152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159654 (or 159647 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 213011686152 its reverse (251686110312), we get a palindrome (464697796464).

The spelling of 213011686152 in words is "two hundred thirteen billion, eleven million, six hundred eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21401 42802 64203 85604 128406 138241 171208 192609 256812 276482 385218 414723 513624 552964 770436 829446 1105928 1244169 1540872 1658892 2488338 3317784 4976676 9953352 2958495641 5916991282 8875486923 11833982564 17750973846 23667965128 26626460769 35501947692 53252921538 71003895384 106505843076 213011686152