Search a number
-
+
3156132685152 = 253237431923833
BaseRepresentation
bin101101111011011000001…
…010101110010101100000
3102011201112022110110210210
4231323120022232111200
5403202224431411102
610413523552454120
7444010624116636
oct55733012562540
912151468413723
103156132685152
111007565690a67
1242b81a54a340
1319b8117c3b35
14aca86d55356
155717191a36c
hex2ded82ae560

3156132685152 has 96 divisors (see below), whose sum is σ = 8656698935808. Its totient is φ = 1004948274176.

The previous prime is 3156132685117. The next prime is 3156132685163. The reversal of 3156132685152 is 2515862316513.

3156132685152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31561326851522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678628 + ... + 2602460.

It is an arithmetic number, because the mean of its divisors is an integer number (90173947248).

Almost surely, 23156132685152 is an apocalyptic number.

3156132685152 is a gapful number since it is divisible by the number (32) 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 3156132685152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328349467904).

3156132685152 is an abundant number, since it is smaller than the sum of its proper divisors (5500566250656).

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

3156132685152 is a wasteful number, since it uses less digits than its factorization.

3156132685152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924612 (or 1924604 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 3156132685152 in words is "three trillion, one hundred fifty-six billion, one hundred thirty-two million, six hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 743 1104 1486 2208 2229 2972 4458 5944 8916 11888 17089 17832 23776 34178 35664 51267 68356 71328 102534 136712 205068 273424 410136 546848 820272 1640544 1923833 3847666 5771499 7695332 11542998 15390664 23085996 30781328 44248159 46171992 61562656 88496318 92343984 132744477 176992636 184687968 265488954 353985272 530977908 707970544 1061955816 1415941088 1429407919 2123911632 2858815838 4247823264 4288223757 5717631676 8576447514 11435263352 17152895028 22870526704 32876382137 34305790056 45741053408 65752764274 68611580112 98629146411 131505528548 137223160224 197258292822 263011057096 394516585644 526022114192 789033171288 1052044228384 1578066342576 3156132685152