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38034878832 = 24331923201473
BaseRepresentation
bin100011011011000011…
…100011000101110000
310122011201100001001000
4203123003203011300
51110343412110312
625250055242000
72514353064366
oct433303430560
9118151301030
1038034878832
1115148774465
127455979300
133781bcaa82
141bab5d1636
15ec9213adc
hex8db0e3170

38034878832 has 160 divisors (see below), whose sum is σ = 119917324800. Its totient is φ = 11488739328.

The previous prime is 38034878831. The next prime is 38034878839. The reversal of 38034878832 is 23887843083.

38034878832 is a `hidden beast` number, since 3 + 80 + 3 + 487 + 8 + 83 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38034878831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88048 + ... + 289520.

It is an arithmetic number, because the mean of its divisors is an integer number (749483280).

Almost surely, 238034878832 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 38034878832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59958662400).

38034878832 is an abundant number, since it is smaller than the sum of its proper divisors (81882445968).

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

38034878832 is a wasteful number, since it uses less digits than its factorization.

38034878832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201532 (or 201520 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 38034878832 in words is "thirty-eight billion, thirty-four million, eight hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 27 36 38 46 48 54 57 69 72 76 92 108 114 138 144 152 171 184 207 216 228 276 304 342 368 414 432 437 456 513 552 621 684 828 874 912 1026 1104 1242 1311 1368 1656 1748 2052 2484 2622 2736 3312 3496 3933 4104 4968 5244 6992 7866 8208 9936 10488 11799 15732 20976 23598 31464 47196 62928 94392 188784 201473 402946 604419 805892 1208838 1611784 1813257 2417676 3223568 3626514 3827987 4633879 4835352 5439771 7253028 7655974 9267758 9670704 10879542 11483961 13901637 14506056 15311948 18535516 21759084 22967922 27803274 29012112 30623896 34451883 37071032 41704911 43518168 45935844 55606548 61247792 68903766 74142064 83409822 87036336 88043701 91871688 103355649 111213096 125114733 137807532 166819644 176087402 183743376 206711298 222426192 250229466 264131103 275615064 333639288 352174804 413422596 500458932 528262206 551230128 667278576 704349608 792393309 826845192 1000917864 1056524412 1408699216 1584786618 1653690384 2001835728 2113048824 2377179927 3169573236 4226097648 4754359854 6339146472 9508719708 12678292944 19017439416 38034878832