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38230704072 = 23321126596659
BaseRepresentation
bin100011100110101110…
…100011111111001000
310122200100210222202200
4203212232203333020
51111244030012242
625321332400200
72522251423431
oct434656437710
9118610728680
1038230704072
1115239265900
1274ab476060
1337b3652ab2
141bc9608488
15edb4e604c
hex8e6ba3fc8

38230704072 has 144 divisors (see below), whose sum is σ = 113999886000. Its totient is φ = 11565744960.

The previous prime is 38230704059. The next prime is 38230704073. The reversal of 38230704072 is 27040703283.

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

It is not an unprimeable number, because it can be changed into a prime (38230704073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5737879 + ... + 5744537.

It is an arithmetic number, because the mean of its divisors is an integer number (791665875).

Almost surely, 238230704072 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 38230704072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56999943000).

38230704072 is an abundant number, since it is smaller than the sum of its proper divisors (75769181928).

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

38230704072 is a wasteful number, since it uses less digits than its factorization.

38230704072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 38230704072 in words is "thirty-eight billion, two hundred thirty million, seven hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 659 726 792 968 1089 1318 1452 1977 2178 2636 2904 3954 4356 5272 5931 6659 7249 7908 8712 11862 13318 14498 15816 19977 21747 23724 26636 28996 39954 43494 47448 53272 57992 59931 65241 73249 79739 79908 86988 119862 130482 146498 159478 159816 173976 219747 239217 239724 260964 292996 318956 439494 478434 479448 521928 585992 637912 659241 717651 805739 878988 956868 1318482 1435302 1611478 1757976 1913736 2417217 2636964 2870604 3222956 4388281 4834434 5273928 5741208 6445912 7251651 8776562 9668868 13164843 14503302 17553124 19337736 26329686 29006604 35106248 39494529 48271091 52659372 58013208 78989058 96542182 105318744 144813273 157978116 193084364 289626546 315956232 386168728 434439819 530982001 579253092 868879638 1061964002 1158506184 1592946003 1737759276 2123928004 3185892006 3475518552 4247856008 4778838009 6371784012 9557676018 12743568024 19115352036 38230704072