Search a number
-
+
42654466445624 = 2311312504380693
BaseRepresentation
bin10011011001011010001000…
…10100100001000100111000
312121000201122002212000221122
421230231010110201010320
521042322321402224444
6230415105200324412
711661453304411655
oct1154550424410470
9177021562760848
1042654466445624
1112655726344180
12494a87a613708
131aa53b6984a87
14a766b6bd2c2c
154de8195bd4ee
hex26cb44521138

42654466445624 has 48 divisors (see below), whose sum is σ = 90153005245560. Its totient is φ = 18762961742400.

The previous prime is 42654466445611. The next prime is 42654466445639.

42654466445624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252105779 + ... + 252274914.

Almost surely, 242654466445624 is an apocalyptic number.

42654466445624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42654466445624 is an abundant number, since it is smaller than the sum of its proper divisors (47498538799936).

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

42654466445624 is a wasteful number, since it uses less digits than its factorization.

42654466445624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504380772 (or 504380737 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 62.

The spelling of 42654466445624 in words is "forty-two trillion, six hundred fifty-four billion, four hundred sixty-six million, four hundred forty-five thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 961 1364 1922 2728 3844 7688 10571 21142 42284 84568 504380693 1008761386 2017522772 4035045544 5548187623 11096375246 15635801483 22192750492 31271602966 44385500984 62543205932 125086411864 171993816313 343987632626 484709845973 687975265252 969419691946 1375950530504 1938839383892 3877678767784 5331808305703 10663616611406 21327233222812 42654466445624