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231060376872 = 233313593138763
BaseRepresentation
bin1101011100110001000…
…1011000110100101000
3211002101222212022111000
43113030101120310220
512241202424024442
6254051521435000
722456614540423
oct3271421306450
9732358768430
10231060376872
1189aa0617056
123894579ba60
1318a342a0ac0
14b27d2b29ba
156025208d4c
hex35cc458d28

231060376872 has 128 divisors (see below), whose sum is σ = 692376854400. Its totient is φ = 70975097856.

The previous prime is 231060376867. The next prime is 231060376879. The reversal of 231060376872 is 278673060132.

231060376872 is a `hidden beast` number, since 2 + 31 + 0 + 603 + 7 + 6 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (231060376879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595763 + ... + 1734525.

It is an arithmetic number, because the mean of its divisors is an integer number (5409194175).

Almost surely, 2231060376872 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 231060376872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346188427200).

231060376872 is an abundant number, since it is smaller than the sum of its proper divisors (461316477528).

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

231060376872 is a wasteful number, since it uses less digits than its factorization.

231060376872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139384 (or 139374 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 231060376872 in words is "two hundred thirty-one billion, sixty million, three hundred seventy-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 593 702 936 1186 1404 1779 2372 2808 3558 4744 5337 7116 7709 10674 14232 15418 16011 21348 23127 30836 32022 42696 46254 61672 64044 69381 92508 128088 138762 138763 185016 208143 277524 277526 416286 416289 555048 555052 832572 832578 1110104 1248867 1665144 1665156 1803919 2497734 3330312 3607838 3746601 4995468 5411757 7215676 7493202 9990936 10823514 14431352 14986404 16235271 21647028 29972808 32470542 43294056 48705813 64941084 82286459 97411626 129882168 164572918 194823252 246859377 329145836 389646504 493718754 658291672 740578131 987437508 1069723967 1481156262 1974875016 2139447934 2221734393 2962312524 3209171901 4278895868 4443468786 5924625048 6418343802 8557791736 8886937572 9627515703 12836687604 17773875144 19255031406 25673375208 28882547109 38510062812 57765094218 77020125624 115530188436 231060376872