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13675223136 = 253674314933
BaseRepresentation
bin11001011110001101…
…10101100001100000
31022022001100022110210
430233012311201200
5211001324120021
610140551254120
7662612323131
oct145706654140
938261308423
1013675223136
115888341603
12279797a340
13139c247613
1493a2d3c88
1555087ce76
hex32f1b5860

13675223136 has 96 divisors (see below), whose sum is σ = 36525178368. Its totient is φ = 4479045120.

The previous prime is 13675223131. The next prime is 13675223141. The reversal of 13675223136 is 63132257631.

It is an interprime number because it is at equal distance from previous prime (13675223131) and next prime (13675223141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13675223094 and 13675223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13675223131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769726 + ... + 2774658.

It is an arithmetic number, because the mean of its divisors is an integer number (380470608).

Almost surely, 213675223136 is an apocalyptic number.

13675223136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13675223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18262589184).

13675223136 is an abundant number, since it is smaller than the sum of its proper divisors (22849955232).

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

13675223136 is a wasteful number, since it uses less digits than its factorization.

13675223136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5436 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The spelling of 13675223136 in words is "thirteen billion, six hundred seventy-five million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 431 536 804 862 1072 1293 1608 1724 2144 2586 3216 3448 4933 5172 6432 6896 9866 10344 13792 14799 19732 20688 28877 29598 39464 41376 57754 59196 78928 86631 115508 118392 157856 173262 231016 236784 330511 346524 462032 473568 661022 693048 924064 991533 1322044 1386096 1983066 2126123 2644088 2772192 3966132 4252246 5288176 6378369 7932264 8504492 10576352 12756738 15864528 17008984 25513476 31729056 34017968 51026952 68035936 102053904 142450241 204107808 284900482 427350723 569800964 854701446 1139601928 1709402892 2279203856 3418805784 4558407712 6837611568 13675223136