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21137617230264 = 233397859339029
BaseRepresentation
bin1001100111001011111000…
…01010101001100110111000
32202211201212212222120022000
410303211330022221212320
510232304320002332024
6112542253131301000
74311066600645453
oct463457412514670
982751785876260
1021137617230264
11680a45a962987
1224547412aa760
13ba43655a9432
145310cd67a49a
15269c8804ccc9
hex13397c2a99b8

21137617230264 has 32 divisors (see below), whose sum is σ = 58715603418000. Its totient is φ = 7045872410016.

The previous prime is 21137617230227. The next prime is 21137617230329. The reversal of 21137617230264 is 46203271673112.

It is a happy number.

21137617230264 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 617 + 2 + 3 + 0 + 26 + 4 = 666.

It is a super-3 number, since 3×211376172302643 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48929669299 + ... + 48929669730.

Almost surely, 221137617230264 is an apocalyptic number.

21137617230264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21137617230264 is an abundant number, since it is smaller than the sum of its proper divisors (37577986187736).

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

21137617230264 is a wasteful number, since it uses less digits than its factorization.

21137617230264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97859339044 (or 97859339034 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 21137617230264 in words is "twenty-one trillion, one hundred thirty-seven billion, six hundred seventeen million, two hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 97859339029 195718678058 293578017087 391437356116 587156034174 782874712232 880734051261 1174312068348 1761468102522 2348624136696 2642202153783 3522936205044 5284404307566 7045872410088 10568808615132 21137617230264