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253191130420 = 225315310337459
BaseRepresentation
bin1110101111001101011…
…1100000110100110100
3220012112022210002002211
43223303113200310310
513122013412133140
6312151524343204
724202212045664
oct3536327406464
9805468702084
10253191130420
1198417879818
12410a1244b04
131ab50243547
14c37c56c1a4
1568bd0642ea
hex3af35e0d34

253191130420 has 96 divisors (see below), whose sum is σ = 559825136640. Its totient is φ = 96054266880.

The previous prime is 253191130399. The next prime is 253191130457. The reversal of 253191130420 is 24031191352.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33940651 + ... + 33948109.

It is an arithmetic number, because the mean of its divisors is an integer number (5831511840).

Almost surely, 2253191130420 is an apocalyptic number.

253191130420 is a gapful number since it is divisible by the number (20) 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 253191130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279912568320).

253191130420 is an abundant number, since it is smaller than the sum of its proper divisors (306634006220).

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

253191130420 is a wasteful number, since it uses less digits than its factorization.

253191130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 253191130420 in words is "two hundred fifty-three billion, one hundred ninety-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 1033 1060 1643 2066 3286 4132 5165 6572 7459 8215 10330 14918 16430 20660 29836 32023 32860 37295 54749 64046 74590 109498 128092 149180 160115 218996 231229 273745 320230 395327 462458 547490 640460 790654 924916 1094980 1156145 1581308 1697219 1976635 2312290 3394438 3953270 4624580 6788876 7705147 7906540 8486095 12255137 15410294 16972190 24510274 30820588 33944380 38525735 49020548 61275685 77051470 122551370 154102940 238859557 245102740 408372791 477719114 816745582 955438228 1194297785 1633491164 2041863955 2388595570 4083727910 4777191140 8167455820 12659556521 25319113042 50638226084 63297782605 126595565210 253191130420