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42633669384 = 23331910388321
BaseRepresentation
bin100111101101001010…
…100010101100001000
311002001012202210201000
4213231022202230020
51144303204410014
631330255255000
73036334132125
oct475512425410
9132035683630
1042633669384
111709865a909
128319b1a460
1340358b3707
1420c629574c
151197d18509
hex9ed2a2b08

42633669384 has 64 divisors (see below), whose sum is σ = 124659864000. Its totient is φ = 13463262720.

The previous prime is 42633669383. The next prime is 42633669433. The reversal of 42633669384 is 48396633624.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42633669384.

It is not an unprimeable number, because it can be changed into a prime (42633669383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5190057 + ... + 5198264.

It is an arithmetic number, because the mean of its divisors is an integer number (1947810375).

Almost surely, 242633669384 is an apocalyptic number.

It is an amenable number.

42633669384 is an abundant number, since it is smaller than the sum of its proper divisors (82026194616).

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

42633669384 is a wasteful number, since it uses less digits than its factorization.

42633669384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388355 (or 10388345 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 42633669384 in words is "forty-two billion, six hundred thirty-three million, six hundred sixty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 10388321 20776642 31164963 41553284 62329926 83106568 93494889 124659852 186989778 197378099 249319704 280484667 373979556 394756198 560969334 592134297 747959112 789512396 1121938668 1184268594 1579024792 1776402891 2243877336 2368537188 3552805782 4737074376 5329208673 7105611564 10658417346 14211223128 21316834692 42633669384