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134007063604164 = 22362143732
BaseRepresentation
bin11110011110000011110011…
…011011000110101111000100
3122120110221122200010021000000
4132132003303123012233010
5120031032431240313124
61153001554541321300
740140455650312002
oct3636036333065704
9576427580107000
10134007063604164
1139776092936193
1213043572566230
1359a0a728c614a
142513d95693a72
151075c707336c9
hex79e0f36c6bc4

134007063604164 has 63 divisors (see below), whose sum is σ = 351609336895453. Its totient is φ = 44668812830832.

The previous prime is 134007063604121. The next prime is 134007063604177. The reversal of 134007063604164 is 461406360700431.

The square root of 134007063604164 is 11576142.

It is a perfect power (a square), and thus also a powerful number.

134007063604164 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 7 + 0 + 636 + 0 + 4 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133997062004100 + 10001600064 = 11575710^2 + 100008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 625004482 + ... + 625218854.

Almost surely, 2134007063604164 is an apocalyptic number.

134007063604164 is the 11576142-nd square number.

It is an amenable number.

134007063604164 is an abundant number, since it is smaller than the sum of its proper divisors (217602273291289).

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

134007063604164 is an frugal number, since it uses more digits than its factorization.

134007063604164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428768 (or 214378 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 134007063604164 in words is "one hundred thirty-four trillion, seven billion, sixty-three million, six hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 214373 428746 643119 857492 1286238 1929357 2572476 3858714 5788071 7717428 11576142 17364213 23152284 34728426 52092639 69456852 104185278 156277917 208370556 312555834 625111668 45955783129 91911566258 137867349387 183823132516 275734698774 413602048161 551469397548 827204096322 1240806144483 1654408192644 2481612288966 3722418433449 4963224577932 7444836866898 11167255300347 14889673733796 22334510600694 33501765901041 44669021201388 67003531802082 134007063604164