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12538754418440 = 2351779233409427
BaseRepresentation
bin1011011001110110100000…
…0000001100011100001000
31122101200201100120020212002
42312131220000030130020
53120413332112342230
642400120235010132
72432616011011505
oct266355000143410
948350640506762
1012538754418440
113aa4723a91498
1214a6117599948
136cc5268294b3
14314c43bb64ac
1516b265ee9545
hexb676800c708

12538754418440 has 64 divisors (see below), whose sum is σ = 30249861868800. Its totient is φ = 4660719418368.

The previous prime is 12538754418329. The next prime is 12538754418481. The reversal of 12538754418440 is 4481445783521.

It is a super-2 number, since 2×125387544184402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116650994 + ... + 116758433.

It is an arithmetic number, because the mean of its divisors is an integer number (472654091700).

Almost surely, 212538754418440 is an apocalyptic number.

12538754418440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12538754418440 is an abundant number, since it is smaller than the sum of its proper divisors (17711107450360).

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

12538754418440 is a wasteful number, since it uses less digits than its factorization.

12538754418440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233409534 (or 233409530 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 56.

The spelling of 12538754418440 in words is "twelve trillion, five hundred thirty-eight billion, seven hundred fifty-four million, four hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 316 340 395 632 680 790 1343 1580 2686 3160 5372 6715 10744 13430 26860 53720 233409427 466818854 933637708 1167047135 1867275416 2334094270 3967960259 4668188540 7935920518 9336377080 15871841036 18439344733 19839801295 31743682072 36878689466 39679602590 73757378932 79359205180 92196723665 147514757864 158718410360 184393447330 313468860461 368786894660 626937720922 737573789320 1253875441844 1567344302305 2507750883688 3134688604610 6269377209220 12538754418440