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13768739136 = 2632231039307
BaseRepresentation
bin11001101001010111…
…00100100101000000
31022112120022102022100
430310223210211000
5211144244123021
610154131510400
7665126231415
oct146453444500
938476272270
1013768739136
115926104559
122803158400
1313b572aa29
149488b810c
15558ba1626
hex334ae4940

13768739136 has 84 divisors (see below), whose sum is σ = 41181540192. Its totient is φ = 4390028544.

The previous prime is 13768739129. The next prime is 13768739167. The reversal of 13768739136 is 63193786731.

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, 506406 + ... + 532901.

Almost surely, 213768739136 is an apocalyptic number.

13768739136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13768739136 is an abundant number, since it is smaller than the sum of its proper divisors (27412801056).

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

13768739136 is a wasteful number, since it uses less digits than its factorization.

13768739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039348 (or 1039335 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 13768739136 in words is "thirteen billion, seven hundred sixty-eight million, seven hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 1039307 2078614 3117921 4157228 6235842 8314456 9353763 12471684 16628912 18707526 23904061 24943368 33257824 37415052 47808122 49886736 66515648 71712183 74830104 95616244 99773472 143424366 149660208 191232488 199546944 215136549 286848732 299320416 382464976 430273098 573697464 598640832 764929952 860546196 1147394928 1529859904 1721092392 2294789856 3442184784 4589579712 6884369568 13768739136