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5138570016 = 25344148353
BaseRepresentation
bin1001100100100100…
…00101101100100000
3111021010010101220000
410302102011230200
541010433220031
62205521220000
7241224060456
oct46222055440
914233111800
105138570016
1121a7652788
12bb4a91600
1363b788098
1436a6529d6
152011c93e6
hex132485b20

5138570016 has 120 divisors (see below), whose sum is σ = 15481306764. Its totient is φ = 1671045120.

The previous prime is 5138570011. The next prime is 5138570039. The reversal of 5138570016 is 6100758315.

5138570016 is a `hidden beast` number, since 51 + 38 + 570 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3679635600 + 1458934416 = 60660^2 + 38196^2 .

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 (5138570011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82096 + ... + 130448.

Almost surely, 25138570016 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 5138570016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740653382).

5138570016 is an abundant number, since it is smaller than the sum of its proper divisors (10342736748).

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

5138570016 is a wasteful number, since it uses less digits than its factorization.

5138570016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48416 (or 48399 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5138570016 is about 71683.8197642955. The cubic root of 5138570016 is about 1725.6289819703.

The spelling of 5138570016 in words is "five billion, one hundred thirty-eight million, five hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6642 8856 11808 13284 17712 26568 35424 48353 53136 96706 106272 145059 193412 290118 386824 435177 580236 773648 870354 1160472 1305531 1547296 1740708 1982473 2320944 2611062 3481416 3916593 3964946 4641888 5222124 5947419 6962832 7833186 7929892 10444248 11894838 13925664 15666372 15859784 17842257 20888496 23789676 31332744 31719568 35684514 41776992 47579352 53526771 62665488 63439136 71369028 95158704 107053542 125330976 142738056 160580313 190317408 214107084 285476112 321160626 428214168 570952224 642321252 856428336 1284642504 1712856672 2569285008 5138570016