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2468512956 = 2237134095527
BaseRepresentation
bin1001001100100010…
…1000010010111100
320101000221110011210
42103020220102330
520023414403311
61044540444420
7115113004530
oct22310502274
96330843153
102468512956
111057458358
1258a849710
13304556670
14195bb5bc0
15e6aab3a6
hex932284bc

2468512956 has 96 divisors (see below), whose sum is σ = 7107681280. Its totient is φ = 649327104.

The previous prime is 2468512951. The next prime is 2468512957. The reversal of 2468512956 is 6592158642.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468512951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443865 + ... + 449391.

Almost surely, 22468512956 is an apocalyptic number.

2468512956 is a gapful number since it is divisible by the number (26) 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 2468512956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553840640).

2468512956 is an abundant number, since it is smaller than the sum of its proper divisors (4639168324).

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

2468512956 is a wasteful number, since it uses less digits than its factorization.

2468512956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5961 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 2468512956 is about 49684.1318330108. The cubic root of 2468512956 is about 1351.4867855623.

The spelling of 2468512956 in words is "two billion, four hundred sixty-eight million, five hundred twelve thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 409 546 818 1092 1227 1636 2454 2863 4908 5317 5527 5726 8589 10634 11054 11452 15951 16581 17178 21268 22108 31902 33162 34356 37219 38689 63804 66324 71851 74438 77378 111657 116067 143702 148876 154756 215553 223314 232134 287404 431106 446628 464268 502957 862212 1005914 1508871 2011828 2260543 3017742 4521086 6035484 6781629 9042172 13563258 15823801 27126516 29387059 31647602 47471403 58774118 63295204 88161177 94942806 117548236 176322354 189885612 205709413 352644708 411418826 617128239 822837652 1234256478 2468512956