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126422020224621 = 32112330755736299
BaseRepresentation
bin11100101111101011101011…
…100110110111011001101101
3121120121211022221211021021100
4130233223223212313121231
5113032244244134141441
61124513250241553313
735425455341341062
oct3457535346673155
9546554287737240
10126422020224621
1137311306668700
1212219526945839
1355707121ab4c4
142330c03748c69
15e937d82accb6
hex72faeb9b766d

126422020224621 has 72 divisors (see below), whose sum is σ = 200848229618400. Its totient is φ = 76570335293760.

The previous prime is 126422020224611. The next prime is 126422020224673.

126422020224621 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 2 + 0 + 2 + 0 + 2 + 24 + 621 = 666.

126422020224621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 126422020224621 - 229 = 126421483353709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126422020224611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20070169930 + ... + 20070176228.

It is an arithmetic number, because the mean of its divisors is an integer number (2789558744700).

Almost surely, 2126422020224621 is an apocalyptic number.

126422020224621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126422020224621 is a deficient number, since it is larger than the sum of its proper divisors (74426209393779).

126422020224621 is a wasteful number, since it uses less digits than its factorization.

126422020224621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15207 (or 15193 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 126422020224621 in words is "one hundred twenty-six trillion, four hundred twenty-two billion, twenty million, two hundred twenty-four thousand, six hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 3307 5573 6299 9921 16719 18897 29763 36377 50157 56691 61303 69289 109131 183909 207867 327393 400147 551727 623601 674333 762179 1200441 2022999 2286537 3601323 6068997 6859611 18429911 20830793 35104327 55289733 62492379 105312981 165869199 187477137 202729021 229138723 315938943 386147597 608187063 687416169 1158442791 1824561189 2062248507 2230019231 2520525953 3475328373 4247623567 6690057693 7561577859 12742870701 20070173079 22684733577 38228612103 116090009389 348270028167 1044810084501 1276990103279 3830970309837 11492910929511 14046891136069 42140673408207 126422020224621