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136376400192 = 2632347657071
BaseRepresentation
bin111111100000010101…
…0101011100101000000
3111001000022020221021220
41333000222223211000
54213244324301232
6142352255315040
712565351163244
oct1770052534500
9431008227256
10136376400192
1152922a16a5a
122252021ba80
13cb24c3b0b6
14685a298424
153832a4c42c
hex1fc0aab940

136376400192 has 112 divisors (see below), whose sum is σ = 384529047552. Its totient is φ = 42557109760.

The previous prime is 136376400191. The next prime is 136376400203. The reversal of 136376400192 is 291004673631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136376400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120984 + ... + 536087.

Almost surely, 2136376400192 is an apocalyptic number.

136376400192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136376400192 is an abundant number, since it is smaller than the sum of its proper divisors (248152647360).

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

136376400192 is a wasteful number, since it uses less digits than its factorization.

136376400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657156 (or 657146 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 136376400192 in words is "one hundred thirty-six billion, three hundred seventy-six million, four hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 138 141 184 188 192 276 282 368 376 552 564 736 752 1081 1104 1128 1472 1504 2162 2208 2256 3008 3243 4324 4416 4512 6486 8648 9024 12972 17296 25944 34592 51888 69184 103776 207552 657071 1314142 1971213 2628284 3942426 5256568 7884852 10513136 15112633 15769704 21026272 30225266 30882337 31539408 42052544 45337899 60450532 61764674 63078816 90675798 92647011 120901064 123529348 126157632 181351596 185294022 241802128 247058696 362703192 370588044 483604256 494117392 710293751 725406384 741176088 967208512 988234784 1420587502 1450812768 1482352176 1976469568 2130881253 2841175004 2901625536 2964704352 4261762506 5682350008 5929408704 8523525012 11364700016 17047050024 22729400032 34094100048 45458800064 68188200096 136376400192