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94413623824 = 241321923112
BaseRepresentation
bin101011111101101111…
…1011001001000010000
3100000200211220000210101
41113323133121020100
53021324341430244
6111212323342144
76551441363332
oct1277337311020
9300624800711
1094413623824
113704a035a93
121636ab21954
138b98345400
1447d9161452
1526c8aa70d4
hex15fb7d9210

94413623824 has 135 divisors (see below), whose sum is σ = 209728387629. Its totient is φ = 41149330560.

The previous prime is 94413623813. The next prime is 94413623827. The reversal of 94413623824 is 42832631449.

The square root of 94413623824 is 307268.

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

It can be written as a sum of positive squares in only one way, i.e., 13966512400 + 80447111424 = 118180^2 + 283632^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (94413623827) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303580629 + ... + 303580939.

Almost surely, 294413623824 is an apocalyptic number.

94413623824 is the 307268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94413623824

94413623824 is an abundant number, since it is smaller than the sum of its proper divisors (115314763805).

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

94413623824 is a wasteful number, since it uses less digits than its factorization.

94413623824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 345 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The spelling of 94413623824 in words is "ninety-four billion, four hundred thirteen million, six hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 311 338 361 494 622 676 722 988 1244 1352 1444 1976 2488 2704 2888 3211 3952 4043 4693 4976 5776 5909 6422 8086 9386 11818 12844 16172 18772 23636 25688 32344 37544 47272 51376 52559 61009 64688 75088 76817 94544 96721 105118 112271 122018 153634 193442 210236 224542 244036 307268 386884 420472 449084 488072 614536 773768 840944 898168 976144 998621 1229072 1257373 1459523 1547536 1796336 1837699 1997242 2514746 2919046 3675398 3994484 5029492 5838092 7350796 7988968 10058984 11676184 14701592 15977936 16345849 18973799 20117968 23352368 23890087 29403184 32691698 34916281 37947598 47780174 65383396 69832562 75895196 95560348 130766792 139665124 151790392 191120696 261533584 279330248 303580784 310571131 382241392 453911653 558660496 621142262 907823306 1242284524 1815646612 2484569048 3631293224 4969138096 5900851489 7262586448 11801702978 23603405956 47206811912 94413623824