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132500025425565 = 3357294834885073
BaseRepresentation
bin11110001000001000010000…
…111100101011111010011101
3122101010212201120220121022000
4132020020100330223322131
5114331340023002104230
61145445401003112513
736623545102203210
oct3610102074537235
9571125646817260
10132500025425565
1139244a440a2076
1212a3b486512739
1358c19112ca125
1424a106d3ad777
15104b96a52cb60
hex788210f2be9d

132500025425565 has 64 divisors (see below), whose sum is σ = 278489380262400. Its totient is φ = 58482769830912.

The previous prime is 132500025425563. The next prime is 132500025425587. The reversal of 132500025425565 is 565524520005231.

132500025425565 is a `hidden beast` number, since 1 + 3 + 2 + 50 + 0 + 0 + 2 + 5 + 42 + 556 + 5 = 666.

It is not a de Polignac number, because 132500025425565 - 21 = 132500025425563 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132500025425565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132500025425561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2417415132 + ... + 2417469941.

It is an arithmetic number, because the mean of its divisors is an integer number (4351396566600).

Almost surely, 2132500025425565 is an apocalyptic number.

132500025425565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132500025425565 is an abundant number, since it is smaller than the sum of its proper divisors (145989354836835).

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

132500025425565 is a wasteful number, since it uses less digits than its factorization.

132500025425565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834885123 (or 4834885117 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 132500025425565 in words is "one hundred thirty-two trillion, five hundred billion, twenty-five million, four hundred twenty-five thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 189 203 261 315 435 609 783 945 1015 1305 1827 3045 3915 5481 9135 27405 4834885073 14504655219 24174425365 33844195511 43513965657 72523276095 101532586533 130541896971 140211667117 169220977555 217569828285 304597759599 420635001351 507662932665 652709484855 701058335585 913793278797 981481669819 1261905004053 1522988797995 2103175006755 2944445009457 3785715012159 4568966393985 4907408349095 6309525020265 8833335028371 14722225047285 18928575060795 26500005085113 44166675141855 132500025425565