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5349121887456 = 253250336925129
BaseRepresentation
bin100110111010111000010…
…0000101000110011100000
3200221101000111112120211100
41031311300200220303200
51200120000200344311
615213204102114400
71061314140561414
oct115656040506340
920841014476740
105349121887456
111782605943966
1272484211ba00
132ca55ca60769
14146c82758d44
159422261da56
hex4dd70828ce0

5349121887456 has 72 divisors (see below), whose sum is σ = 15241807460880. Its totient is φ = 1779495768576.

The previous prime is 5349121887371. The next prime is 5349121887467. The reversal of 5349121887456 is 6547881219435.

It is a happy number.

5349121887456 is a `hidden beast` number, since 5 + 3 + 4 + 91 + 2 + 18 + 87 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×53491218874562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5349121887393 and 5349121887402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18317701 + ... + 18607428.

It is an arithmetic number, because the mean of its divisors is an integer number (211691770290).

Almost surely, 25349121887456 is an apocalyptic number.

It is an amenable number.

5349121887456 is an abundant number, since it is smaller than the sum of its proper divisors (9892685573424).

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

5349121887456 is a wasteful number, since it uses less digits than its factorization.

5349121887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36925648 (or 36925637 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 5349121887456 in words is "five trillion, three hundred forty-nine billion, one hundred twenty-one million, eight hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 503 1006 1509 2012 3018 4024 4527 6036 8048 9054 12072 16096 18108 24144 36216 48288 72432 144864 36925129 73850258 110775387 147700516 221550774 295401032 332326161 443101548 590802064 664652322 886203096 1181604128 1329304644 1772406192 2658609288 3544812384 5317218576 10634437152 18573339887 37146679774 55720019661 74293359548 111440039322 148586719096 167160058983 222880078644 297173438192 334320117966 445760157288 594346876384 668640235932 891520314576 1337280471864 1783040629152 2674560943728 5349121887456