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136230047686656 = 2133571119291613
BaseRepresentation
bin11110111110011010000111…
…100110011010000000000000
3122212100110120020212011100000
4132332122013212122000000
5120323443114201433111
61201423115301200000
740460203402246650
oct3676320746320000
9585313506764300
10136230047686656
113a452925455570
1213342367400000
135b025911546a1
14258d7d896c360
1510b39c989dc56
hex7be68799a000

136230047686656 has 2688 divisors, whose sum is σ = 554396945356800. Its totient is φ = 32346089717760.

The previous prime is 136230047686651. The next prime is 136230047686693. The reversal of 136230047686656 is 656686740032631.

136230047686656 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 30 + 0 + 476 + 86 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 136230047686593 and 136230047686602.

It is not an unprimeable number, because it can be changed into a prime (136230047686651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84457561306 + ... + 84457562918.

It is an arithmetic number, because the mean of its divisors is an integer number (206248863600).

Almost surely, 2136230047686656 is an apocalyptic number.

136230047686656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136230047686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277198472678400).

136230047686656 is an abundant number, since it is smaller than the sum of its proper divisors (418166897670144).

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

136230047686656 is a wasteful number, since it uses less digits than its factorization.

136230047686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 136230047686656 in words is "one hundred thirty-six trillion, two hundred thirty billion, forty-seven million, six hundred eighty-six thousand, six hundred fifty-six".