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38500215384 = 233172316212531
BaseRepresentation
bin100011110110110010…
…101010101001011000
310200101010221120210010
4203312302222221120
51112322023343014
625404201121520
72532033300621
oct436662525130
9120333846703
1038500215384
1115367405724
1275657892a0
133827437347
141c13322a48
151004ed1359
hex8f6caaa58

38500215384 has 128 divisors (see below), whose sum is σ = 106450951680. Its totient is φ = 11541657600.

The previous prime is 38500215353. The next prime is 38500215409. The reversal of 38500215384 is 48351200583.

38500215384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385002153842 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 15210199 + ... + 15212729.

It is an arithmetic number, because the mean of its divisors is an integer number (831648060).

Almost surely, 238500215384 is an apocalyptic number.

38500215384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38500215384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225475840).

38500215384 is an abundant number, since it is smaller than the sum of its proper divisors (67950736296).

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

38500215384 is a wasteful number, since it uses less digits than its factorization.

38500215384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 38500215384 in words is "thirty-eight billion, five hundred million, two hundred fifteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 1621 2346 2531 3128 3242 4692 4863 5062 6484 7593 9384 9726 10124 12968 15186 19452 20248 27557 30372 37283 38904 43027 55114 58213 60744 74566 82671 86054 110228 111849 116426 129081 149132 165342 172108 174639 220456 223698 232852 258162 298264 330684 344216 349278 447396 465704 516324 633811 661368 698556 894792 989621 1032648 1267622 1397112 1901433 1979242 2535244 2968863 3802866 3958484 4102751 5070488 5937726 7605732 7916968 8205502 11875452 12308253 15211464 16411004 23750904 24616506 32822008 49233012 69746767 94363273 98466024 139493534 188726546 209240301 278987068 283089819 377453092 418480602 557974136 566179638 754906184 836961204 1132359276 1604175641 1673922408 2264718552 3208351282 4812526923 6416702564 9625053846 12833405128 19250107692 38500215384