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13768604136 = 23327255110709
BaseRepresentation
bin11001101001010110…
…00011100111101000
31022112120001120010100
430310223003213220
5211144230313021
610154124545400
7665125130010
oct146453034750
938476046110
1013768604136
115926022091
1228030b2260
1313b56b1451
14948880c40
15558b76626
hex334ac39e8

13768604136 has 96 divisors (see below), whose sum is σ = 42637795200. Its totient is φ = 3931977600.

The previous prime is 13768604119. The next prime is 13768604153. The reversal of 13768604136 is 63140686731.

13768604136 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 8 + 604 + 1 + 36 = 666.

13768604136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13768604119) and next prime (13768604153).

It is a junction number, because it is equal to n+sod(n) for n = 13768604091 and 13768604100.

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 23 ways as a sum of consecutive naturals, for example, 1280350 + ... + 1291058.

It is an arithmetic number, because the mean of its divisors is an integer number (444143700).

Almost surely, 213768604136 is an apocalyptic number.

It is an amenable number.

13768604136 is an abundant number, since it is smaller than the sum of its proper divisors (28869191064).

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

13768604136 is a wasteful number, since it uses less digits than its factorization.

13768604136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13279 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13768604136 in words is "thirteen billion, seven hundred sixty-eight million, six hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2551 5102 7653 10204 10709 15306 17857 20408 21418 22959 30612 32127 35714 42836 45918 53571 61224 64254 71428 74963 85672 91836 96381 107142 128508 142856 149926 160713 183672 192762 214284 224889 257016 299852 321426 385524 428568 449778 599704 642852 674667 771048 899556 1285704 1349334 1799112 2698668 5397336 27318659 54637318 81955977 109274636 163911954 191230613 218549272 245867931 327823908 382461226 491735862 573691839 655647816 764922452 983471724 1147383678 1529844904 1721075517 1966943448 2294767356 3442151034 4589534712 6884302068 13768604136