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231478262136 = 233311791233209
BaseRepresentation
bin1101011110010100101…
…1011111100101111000
3211010111010012002022000
43113211023133211320
512243031413342021
6254201210301000
722503150523002
oct3274513374570
9733433162260
10231478262136
118a195498480
1238a41727760
1318a9ca350a4
14b2bc9b1372
15604bc51b26
hex35e52df978

231478262136 has 128 divisors (see below), whose sum is σ = 710328960000. Its totient is φ = 69256961280.

The previous prime is 231478262051. The next prime is 231478262179. The reversal of 231478262136 is 631262874132.

231478262136 is a `hidden beast` number, since 2 + 3 + 14 + 7 + 8 + 2 + 621 + 3 + 6 = 666.

It is a super-3 number, since 3×2314782621363 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231478262091 and 231478262100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428901 + ... + 804308.

It is an arithmetic number, because the mean of its divisors is an integer number (5549445000).

Almost surely, 2231478262136 is an apocalyptic number.

It is an amenable number.

231478262136 is an abundant number, since it is smaller than the sum of its proper divisors (478850697864).

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

231478262136 is a wasteful number, since it uses less digits than its factorization.

231478262136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233314 (or 1233304 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 231478262136 in words is "two hundred thirty-one billion, four hundred seventy-eight million, two hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 88 99 108 132 158 198 216 237 264 297 316 396 474 594 632 711 792 869 948 1188 1422 1738 1896 2133 2376 2607 2844 3476 4266 5214 5688 6952 7821 8532 10428 15642 17064 20856 23463 31284 46926 62568 93852 187704 1233209 2466418 3699627 4932836 7399254 9865672 11098881 13565299 14798508 22197762 27130598 29597016 33296643 40695897 44395524 54261196 66593286 81391794 88791048 97423511 108522392 122087691 133186572 162783588 194847022 244175382 266373144 292270533 325567176 366263073 389694044 488350764 584541066 732526146 779388088 876811599 976701528 1071658621 1169082132 1465052292 1753623198 2143317242 2338164264 2630434797 2930104584 3214975863 3507246396 4286634484 5260869594 6429951726 7014492792 8573268968 9644927589 10521739188 12859903452 19289855178 21043478376 25719806904 28934782767 38579710356 57869565534 77159420712 115739131068 231478262136