Search a number
-
+
42692696544 = 2534310342223
BaseRepresentation
bin100111110000101011…
…101101100111100000
311002012022211200202010
4213300223231213200
51144413312242134
631340204352520
73040651635021
oct476053554740
9132168750663
1042692696544
1117118a06893
128335845740
134044bac924
1420d005cc48
15119d0c7ce9
hex9f0aed9e0

42692696544 has 48 divisors (see below), whose sum is σ = 114674579712. Its totient is φ = 13899946368.

The previous prime is 42692696537. The next prime is 42692696549. The reversal of 42692696544 is 44569629624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42692696549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5166984 + ... + 5175239.

It is an arithmetic number, because the mean of its divisors is an integer number (2389053744).

Almost surely, 242692696544 is an apocalyptic number.

It is an amenable number.

42692696544 is an abundant number, since it is smaller than the sum of its proper divisors (71981883168).

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

42692696544 is a wasteful number, since it uses less digits than its factorization.

42692696544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342279 (or 10342271 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The spelling of 42692696544 in words is "forty-two billion, six hundred ninety-two million, six hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 10342223 20684446 31026669 41368892 62053338 82737784 124106676 165475568 248213352 330951136 444715589 496426704 889431178 992853408 1334146767 1778862356 2668293534 3557724712 5336587068 7115449424 10673174136 14230898848 21346348272 42692696544