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134629387665570 = 23257597151013951
BaseRepresentation
bin11110100111000111011000…
…110101000000000010100010
3122122200102222111122010122100
4132213013120311000002202
5120121231441220244240
61154155515321551230
740233436505461110
oct3647073065000242
9578612874563570
10134629387665570
1139996003613506
12131240b1645516
135a1765c579335
142536150752ab0
151087045392e30
hex7a71d8d400a2

134629387665570 has 192 divisors, whose sum is σ = 412551870382080. Its totient is φ = 29824795728000.

The previous prime is 134629387665533. The next prime is 134629387665571. The reversal of 134629387665570 is 75566783926431.

It is a happy number.

134629387665570 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 2 + 9 + 3 + 8 + 7 + 66 + 557 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (134629387665571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22867906 + ... + 28146045.

It is an arithmetic number, because the mean of its divisors is an integer number (2148707658240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅134629387665570 = 269258775331140, but 3⋅134629387665570 = 403888162996710 is not.

Almost surely, 2134629387665570 is an apocalyptic number.

134629387665570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134629387665570 is an abundant number, since it is smaller than the sum of its proper divisors (277922482716510).

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

134629387665570 is a wasteful number, since it uses less digits than its factorization.

134629387665570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51014101 (or 51014098 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 134629387665570 in words is "one hundred thirty-four trillion, six hundred twenty-nine billion, three hundred eighty-seven million, six hundred sixty-five thousand, five hundred seventy".