Search a number
-
+
1156646630832 = 243711832937573
BaseRepresentation
bin10000110101001101100…
…000101111010110110000
311002120111200200202202220
4100311031200233112300
5122422303014141312
62243204531241040
7146364532100520
oct20651540572660
94076450622686
101156646630832
11406592962180
121681ba749180
13850c0888344
143dda684b680
1520148b0cc8c
hex10d4d82f5b0

1156646630832 has 160 divisors (see below), whose sum is σ = 3725849863680. Its totient is φ = 300383631360.

The previous prime is 1156646630761. The next prime is 1156646630869. The reversal of 1156646630832 is 2380366466511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30765198 + ... + 30802770.

It is an arithmetic number, because the mean of its divisors is an integer number (23286561648).

Almost surely, 21156646630832 is an apocalyptic number.

1156646630832 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 1156646630832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862924931840).

1156646630832 is an abundant number, since it is smaller than the sum of its proper divisors (2569203232848).

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

1156646630832 is a wasteful number, since it uses less digits than its factorization.

1156646630832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45931 (or 45925 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 1156646630832 in words is "one trillion, one hundred fifty-six billion, six hundred forty-six million, six hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 8329 16658 24987 33316 37573 49974 58303 66632 75146 91619 99948 112719 116606 133264 150292 174909 183238 199896 225438 233212 263011 274857 300584 349818 366476 399792 413303 450876 466424 526022 549714 601168 641333 699636 732952 789033 826606 901752 932848 1052044 1099428 1239909 1282666 1399272 1465904 1578066 1653212 1803504 1923999 2104088 2198856 2479818 2565332 2798544 2893121 3156132 3306424 3847998 4208176 4397712 4959636 5130664 5786242 6312264 6612848 7695996 8679363 9919272 10261328 11572484 12624528 15391992 17358726 19838544 23144968 30783984 34717452 46289936 69434904 138869808 312945517 625891034 938836551 1251782068 1877673102 2190618619 2503564136 3442400687 3755346204 4381237238 5007128272 6571855857 6884801374 7510692408 8762474476 10327202061 13143711714 13769602748 15021384816 17524948952 20654404122 24096804809 26287423428 27539205496 35049897904 41308808244 48193609618 52574846856 55078410992 72290414427 82617616488 96387219236 105149693712 144580828854 165235232976 192774438472 289161657708 385548876944 578323315416 1156646630832