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5312306376 = 2333133751131
BaseRepresentation
bin1001111001010001…
…10101110011001000
3111201020001010101000
410330220311303020
541334422301001
62235045055000
7245433600456
oct47450656310
914636033330
105312306376
112286727453
1210430b7460
13668777c70
143857599d6
15211596a86
hex13ca35cc8

5312306376 has 128 divisors (see below), whose sum is σ = 16321334400. Its totient is φ = 1590347520.

The previous prime is 5312306347. The next prime is 5312306401. The reversal of 5312306376 is 6736032135.

5312306376 is a `hidden beast` number, since 5 + 3 + 12 + 3 + 0 + 637 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5312306376.

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, 78331 + ... + 129461.

It is an arithmetic number, because the mean of its divisors is an integer number (127510425).

Almost surely, 25312306376 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 5312306376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160667200).

5312306376 is an abundant number, since it is smaller than the sum of its proper divisors (11009028024).

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

5312306376 is a wasteful number, since it uses less digits than its factorization.

5312306376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51196 (or 51186 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 5312306376 is about 72885.5704237814. The cubic root of 5312306376 is about 1744.8618129612.

The spelling of 5312306376 in words is "five billion, three hundred twelve million, three hundred six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 216 222 234 296 312 333 351 444 468 481 666 702 888 936 962 999 1332 1404 1443 1924 1998 2664 2808 2886 3848 3996 4329 5772 7992 8658 11544 12987 17316 25974 34632 51131 51948 102262 103896 153393 204524 306786 409048 460179 613572 664703 920358 1227144 1329406 1380537 1840716 1891847 1994109 2658812 2761074 3681432 3783694 3988218 5317624 5522148 5675541 5982327 7567388 7976436 11044296 11351082 11964654 15134776 15952872 17026623 17946981 22702164 23929308 24594011 34053246 35893962 45404328 47858616 49188022 51079869 68106492 71787924 73782033 98376044 102159738 136212984 143575848 147564066 196752088 204319476 221346099 295128132 408638952 442692198 590256264 664038297 885384396 1328076594 1770768792 2656153188 5312306376