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38042766632 = 2313261795839
BaseRepresentation
bin100011011011100001…
…101000110100101000
310122012021011210001202
4203123201220310220
51110402422013012
625250540303332
72514510116033
oct433341506450
9118167153052
1038042766632
1115152171702
127458541b48
133783730100
141bac68601a
15ec9c70cc2
hex8db868d28

38042766632 has 96 divisors (see below), whose sum is σ = 79512768000. Its totient is φ = 17048828160.

The previous prime is 38042766623. The next prime is 38042766653. The reversal of 38042766632 is 23666724083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6512369 + ... + 6518207.

It is an arithmetic number, because the mean of its divisors is an integer number (828258000).

Almost surely, 238042766632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38042766632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39756384000).

38042766632 is an abundant number, since it is smaller than the sum of its proper divisors (41470001368).

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

38042766632 is a wasteful number, since it uses less digits than its factorization.

38042766632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 47.

The spelling of 38042766632 in words is "thirty-eight billion, forty-two million, seven hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 61 79 104 122 158 169 244 316 338 488 632 676 793 1027 1352 1586 2054 3172 4108 4819 5839 6344 8216 9638 10309 11678 13351 19276 20618 23356 26702 38552 41236 46712 53404 62647 75907 82472 106808 125294 151814 250588 303628 356179 461281 501176 607256 712358 814411 922562 986791 1424716 1628822 1845124 1973582 2849432 3257644 3690248 3947164 4630327 5996653 6515288 7894328 9260654 11993306 18521308 23986612 28138141 37042616 47973224 56276282 60194251 77956489 112552564 120388502 155912978 225105128 240777004 311825956 365795833 481554008 623651912 731591666 1463183332 2926366664 4755345829 9510691658 19021383316 38042766632