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136923696000 = 27375371343
BaseRepresentation
bin111111110000101001…
…0011100101110000000
3111002102110002110000000
41333201102130232000
54220404431233000
6142522450000000
712615045132660
oct1774122345600
9432373073000
10136923696000
1153083947443
1222653576000
13cbb1442780
1468acc421a0
153865b09000
hex1fe149cb80

136923696000 has 2048 divisors, whose sum is σ = 642997555200. Its totient is φ = 28217548800.

The previous prime is 136923695999. The next prime is 136923696073. The reversal of 136923696000 is 696329631.

It is a happy number.

136923696000 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 2 + 36 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3184271979 + ... + 3184272021.

It is an arithmetic number, because the mean of its divisors is an integer number (313963650).

Almost surely, 2136923696000 is an apocalyptic number.

136923696000 is a gapful number since it is divisible by the number (10) 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 136923696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321498777600).

136923696000 is an abundant number, since it is smaller than the sum of its proper divisors (506073859200).

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

136923696000 is an frugal number, since it uses more digits than its factorization.

136923696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 136923696000 in words is "one hundred thirty-six billion, nine hundred twenty-three million, six hundred ninety-six thousand".