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67981131054 = 232171923394999
BaseRepresentation
bin111111010011111111…
…011011110100101110
320111110201111021022200
4333103333123310232
52103211132143204
651121411322330
74624431036234
oct772377336456
9214421437280
1067981131054
1126915637a41
12112128b03a6
1365450c4945
14340c848954
151b7d272539
hexfd3fdbd2e

67981131054 has 96 divisors (see below), whose sum is σ = 164268000000. Its totient is φ = 20192239872.

The previous prime is 67981131019. The next prime is 67981131077. The reversal of 67981131054 is 45013118976.

It is a super-2 number, since 2×679811310542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13596447 + ... + 13601445.

It is an arithmetic number, because the mean of its divisors is an integer number (1711125000).

Almost surely, 267981131054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67981131054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82134000000).

67981131054 is an abundant number, since it is smaller than the sum of its proper divisors (96286868946).

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

67981131054 is a wasteful number, since it uses less digits than its factorization.

67981131054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 67981131054 in words is "sixty-seven billion, nine hundred eighty-one million, one hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2339 2907 4678 4999 5814 7017 9998 14034 14997 21051 29994 39763 42102 44441 44991 79526 84983 88882 89982 94981 119289 133323 169966 189962 238578 254949 266646 284943 357867 399969 509898 569886 715734 755497 764847 799938 854829 1510994 1529694 1614677 1709658 2266491 3229354 4532982 4844031 6799473 9688062 11692661 13598946 14532093 23385322 29064186 35077983 70155966 105233949 198775237 210467898 222160559 397550474 444321118 596325711 666481677 1192651422 1332963354 1788977133 1999445031 3577954266 3776729503 3998890062 7553459006 11330188509 22660377018 33990565527 67981131054