Search a number
-
+
156985438752 = 253237106313859
BaseRepresentation
bin1001001000110100001…
…1111011001000100000
3120000012120210120101100
42102031003323020200
510033001233020002
6200041302434400
714225150132622
oct2221503731040
9500176716340
10156985438752
116063920772a
1226512132a00
1311a5a85767c
1478533dac12
15413bebe11c
hex248d0fb220

156985438752 has 144 divisors (see below), whose sum is σ = 458957378880. Its totient is φ = 50862629376.

The previous prime is 156985438703. The next prime is 156985438777. The reversal of 156985438752 is 257834589651.

156985438752 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 8 + 543 + 87 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 156985438752.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11320399 + ... + 11334257.

It is an arithmetic number, because the mean of its divisors is an integer number (3187204020).

Almost surely, 2156985438752 is an apocalyptic number.

156985438752 is a gapful number since it is divisible by the number (12) 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 156985438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229478689440).

156985438752 is an abundant number, since it is smaller than the sum of its proper divisors (301971940128).

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

156985438752 is a wasteful number, since it uses less digits than its factorization.

156985438752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14964 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 156985438752 in words is "one hundred fifty-six billion, nine hundred eighty-five million, four hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1063 1184 1332 1776 2126 2664 3189 3552 4252 5328 6378 8504 9567 10656 12756 13859 17008 19134 25512 27718 34016 38268 39331 41577 51024 55436 76536 78662 83154 102048 110872 117993 124731 153072 157324 166308 221744 235986 249462 306144 314648 332616 353979 443488 471972 498924 512783 629296 665232 707958 943944 997848 1025566 1258592 1330464 1415916 1538349 1887888 1995696 2051132 2831832 3076698 3775776 3991392 4102264 4615047 5663664 6153396 8204528 9230094 11327328 12306792 14732117 16409056 18460188 24613584 29464234 36920376 44196351 49227168 58928468 73840752 88392702 117856936 132589053 147681504 176785404 235713872 265178106 353570808 471427744 530356212 545088329 707141616 1060712424 1090176658 1414283232 1635264987 2121424848 2180353316 3270529974 4242849696 4360706632 4905794961 6541059948 8721413264 9811589922 13082119896 17442826528 19623179844 26164239792 39246359688 52328479584 78492719376 156985438752