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74420931204 = 223219223932
BaseRepresentation
bin100010101001111010…
…1010100101010000100
321010002112010000101100
41011103311110222010
52204403224244304
654104414500100
75243135322624
oct1052365245204
9233075100340
1074420931204
112961a748124
121250b504630
137030328889
14385dc1c884
151e087d1439
hex1153d54a84

74420931204 has 81 divisors (see below), whose sum is σ = 198624715653. Its totient is φ = 23491525824.

The previous prime is 74420931173. The next prime is 74420931217. The reversal of 74420931204 is 40213902447.

The square root of 74420931204 is 272802.

It is a perfect power (a square), and thus also a powerful number.

74420931204 is a `hidden beast` number, since 7 + 442 + 0 + 9 + 3 + 1 + 204 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1546848900 + 72874082304 = 39330^2 + 269952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31098232 + ... + 31100624.

Almost surely, 274420931204 is an apocalyptic number.

74420931204 is the 272802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74420931204

74420931204 is an abundant number, since it is smaller than the sum of its proper divisors (124203784449).

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

74420931204 is a wasteful number, since it uses less digits than its factorization.

74420931204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 74420931204 by its sum of digits (36), we get a square (2679153523344 = 16368122).

74420931204 divided by its sum of digits (36) gives a square (2067248089 = 454672).

The spelling of 74420931204 in words is "seventy-four billion, four hundred twenty million, nine hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2393 3249 4332 4786 6498 7179 9572 12996 14358 21537 28716 43074 45467 86148 90934 136401 181868 272802 409203 545604 818406 863873 1636812 1727746 2591619 3455492 5183238 5726449 7774857 10366476 11452898 15549714 17179347 22905796 31099428 34358694 51538041 68717388 103076082 108802531 206152164 217605062 326407593 435210124 652815186 979222779 1305630372 1958445558 2067248089 3916891116 4134496178 6201744267 8268992356 12403488534 18605232801 24806977068 37210465602 74420931204