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67145192196 = 223171924171881
BaseRepresentation
bin111110100010001010…
…100101001100000100
320102022110112011210020
4332202022211030010
52100003132122241
650502430255140
74564630500555
oct764212451404
9212273464706
1067145192196
112652678a785
121101a9574b0
136440b6a874
14336d80632c
151b2eb9bb66
hexfa22a5304

67145192196 has 96 divisors (see below), whose sum is σ = 175346075520. Its totient is φ = 19873382400.

The previous prime is 67145192161. The next prime is 67145192201. The reversal of 67145192196 is 69129154176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 898176 + ... + 970056.

It is an arithmetic number, because the mean of its divisors is an integer number (1826521620).

Almost surely, 267145192196 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 67145192196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87673037760).

67145192196 is an abundant number, since it is smaller than the sum of its proper divisors (108200883324).

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

67145192196 is a wasteful number, since it uses less digits than its factorization.

67145192196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72165 (or 72163 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The spelling of 67145192196 in words is "sixty-seven billion, one hundred forty-five million, one hundred ninety-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 241 323 482 646 723 964 969 1292 1446 1938 2892 3876 4097 4579 8194 9158 12291 13737 16388 18316 24582 27474 49164 54948 71881 77843 143762 155686 215643 233529 287524 311372 431286 467058 862572 934116 1221977 1365739 2443954 2731478 3665931 4097217 4887908 5462956 7331862 8194434 14663724 16388868 17323321 23217563 34646642 46435126 51969963 69293284 69652689 92870252 103939926 139305378 207879852 278610756 294496457 329143099 588992914 658286198 883489371 987429297 1177985828 1316572396 1766978742 1974858594 3533957484 3949717188 5595432683 11190865366 16786298049 22381730732 33572596098 67145192196