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38800016604 = 22331494874951
BaseRepresentation
bin100100001000101010…
…010100010011011100
310201011001002001202000
4210020222110103130
51113430301012404
625454031002300
72542333461636
oct441052242334
9121131061660
1038800016604
1115500663828
12762a069390
13387459580b
141c41083a56
1510214a1339
hex908a944dc

38800016604 has 96 divisors (see below), whose sum is σ = 101496192000. Its totient is φ = 12817569600.

The previous prime is 38800016579. The next prime is 38800016617. The reversal of 38800016604 is 40661000883.

It is a happy number.

38800016604 is a `hidden beast` number, since 38 + 8 + 0 + 0 + 0 + 16 + 604 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7834329 + ... + 7839279.

It is an arithmetic number, because the mean of its divisors is an integer number (1057252000).

Almost surely, 238800016604 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 38800016604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50748096000).

38800016604 is an abundant number, since it is smaller than the sum of its proper divisors (62696175396).

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

38800016604 is a wasteful number, since it uses less digits than its factorization.

38800016604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38800016604 in words is "thirty-eight billion, eight hundred million, sixteen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 487 596 894 974 1341 1461 1788 1948 2682 2922 4023 4383 4951 5364 5844 8046 8766 9902 13149 14853 16092 17532 19804 26298 29706 44559 52596 59412 72563 89118 133677 145126 178236 217689 267354 290252 435378 534708 653067 737699 870756 1306134 1475398 1959201 2213097 2411137 2612268 2950796 3918402 4426194 4822274 6639291 7233411 7836804 8852388 9644548 13278582 14466822 19917873 21700233 26557164 28933644 39835746 43400466 65100699 79671492 86800932 130201398 260402796 359259413 718518826 1077778239 1437037652 2155556478 3233334717 4311112956 6466669434 9700004151 12933338868 19400008302 38800016604