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53402532520 = 235231312231987
BaseRepresentation
bin110001101111000010…
…011111101010101000
312002211201021201202211
4301233002133222220
51333332022020040
640311025334504
73600236015431
oct615702375250
9162751251684
1053402532520
11207143790a7
12a424497434
13506097148c
14282859a488
1515c844c8ea
hexc6f09faa8

53402532520 has 128 divisors (see below), whose sum is σ = 126967357440. Its totient is φ = 20175217920.

The previous prime is 53402532511. The next prime is 53402532529. The reversal of 53402532520 is 2523520435.

It is an interprime number because it is at equal distance from previous prime (53402532511) and next prime (53402532529).

It is a super-3 number, since 3×534025325203 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (53402532529) by changing a digit.

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, 26874967 + ... + 26876953.

It is an arithmetic number, because the mean of its divisors is an integer number (991932480).

Almost surely, 253402532520 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 53402532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63483678720).

53402532520 is an abundant number, since it is smaller than the sum of its proper divisors (73564824920).

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

53402532520 is a wasteful number, since it uses less digits than its factorization.

53402532520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 53402532520 in words is "fifty-three billion, four hundred two million, five hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 131 184 223 230 262 446 460 524 655 892 920 1048 1115 1310 1784 1987 2230 2620 3013 3974 4460 5129 5240 6026 7948 8920 9935 10258 12052 15065 15896 19870 20516 24104 25645 29213 30130 39740 41032 45701 51290 58426 60260 79480 91402 102580 116852 120520 146065 182804 205160 228505 233704 260297 292130 365608 443101 457010 520594 584260 671899 886202 914020 1041188 1168520 1301485 1343798 1772404 1828040 2082376 2215505 2602970 2687596 3359495 3544808 4431010 5205940 5375192 5986831 6718990 8862020 10191323 10411880 11973662 13437980 17724040 20382646 23947324 26875960 29934155 40765292 47894648 50956615 58046231 59868310 81530584 101913230 116092462 119736620 203826460 232184924 239473240 290231155 407652920 464369848 580462310 1160924620 1335063313 2321849240 2670126626 5340253252 6675316565 10680506504 13350633130 26701266260 53402532520