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131773125675368 = 233137431654720183
BaseRepresentation
bin11101111101100011010010…
…010110001100100101101000
3122021120101110200210022101202
4131331203102112030211220
5114232432330133102433
61144131423242503332
736520202616236042
oct3575432226144550
9567511420708352
10131773125675368
1138a9473a141a71
1212942621204b48
13586b1c9b7ca48
142477bd36c0a92
151037ac4ae3ee8
hex77d8d258c968

131773125675368 has 128 divisors (see below), whose sum is σ = 268058917969920. Its totient is φ = 60588508135680.

The previous prime is 131773125675319. The next prime is 131773125675377. The reversal of 131773125675368 is 863576521377131.

It is a happy number.

131773125675368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1317731256753682 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6528906605 + ... + 6528926787.

It is an arithmetic number, because the mean of its divisors is an integer number (2094210296640).

Almost surely, 2131773125675368 is an apocalyptic number.

It is an amenable number.

131773125675368 is an abundant number, since it is smaller than the sum of its proper divisors (136285792294552).

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

131773125675368 is a wasteful number, since it uses less digits than its factorization.

131773125675368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36847 (or 36843 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 65.

The spelling of 131773125675368 in words is "one hundred thirty-one trillion, seven hundred seventy-three billion, one hundred twenty-five million, six hundred seventy-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 31 37 43 62 74 86 124 148 172 248 296 344 1147 1333 1591 2294 2666 3182 4588 5332 6364 9176 10664 12728 16547 20183 33094 40366 49321 66188 80732 98642 132376 161464 197284 394568 512957 612239 625673 711521 746771 867869 1025914 1224478 1251346 1423042 1493542 1735738 2051828 2448956 2502692 2846084 2987084 3471476 4103656 4897912 5005384 5692168 5974168 6942952 18979409 22057151 23149901 26326277 26903939 32111153 37958818 44114302 46299802 52652554 53807878 64222306 75917636 88228604 92599604 105305108 107615756 128444612 151835272 176457208 185199208 210610216 215231512 256889224 333968101 667936202 816114587 995445743 1335872404 1632229174 1990891486 2671744808 3264458348 3981782972 6528916696 7963565944 10353011131 12356819737 14360628343 20706022262 24713639474 28721256686 41412044524 49427278948 57442513372 82824089048 98854557896 114885026744 383061411847 445179478633 531343248691 766122823694 890358957266 1062686497382 1532245647388 1780717914532 2125372994764 3064491294776 3561435829064 4250745989528 16471640709421 32943281418842 65886562837684 131773125675368