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136093227952 = 24117970113963
BaseRepresentation
bin111111010111111001…
…0011101101110110000
3111000021120102022000011
41332233302131232300
54212204331243302
6142304222104304
712555342231223
oct1765762355660
9430246368004
10136093227952
1152798096510
122246141b094
13caab382866
1468308255ba
153817c645d7
hex1fafc9dbb0

136093227952 has 80 divisors (see below), whose sum is σ = 291729185280. Its totient is φ = 60986016000.

The previous prime is 136093227923. The next prime is 136093227971. The reversal of 136093227952 is 259722390631.

It is a super-2 number, since 2×1360932279522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136093227896 and 136093227905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9739723 + ... + 9753685.

It is an arithmetic number, because the mean of its divisors is an integer number (3646614816).

Almost surely, 2136093227952 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 136093227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145864592640).

136093227952 is an abundant number, since it is smaller than the sum of its proper divisors (155635957328).

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

136093227952 is a wasteful number, since it uses less digits than its factorization.

136093227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 136093227952 in words is "one hundred thirty-six billion, ninety-three million, two hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 701 869 1264 1402 1738 2804 3476 5608 6952 7711 11216 13904 13963 15422 27926 30844 55379 55852 61688 110758 111704 123376 153593 221516 223408 307186 443032 609169 614372 886064 1103077 1218338 1228744 2206154 2436676 2457488 4412308 4873352 8824616 9746704 9788063 12133847 17649232 19576126 24267694 39152252 48535388 78304504 97070776 107668693 156609008 194141552 215337386 430674772 773256977 861349544 1546513954 1722699088 3093027908 6186055816 8505826747 12372111632 17011653494 34023306988 68046613976 136093227952