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45150250126401 = 3372151153225779
BaseRepresentation
bin10100100010000010111001…
…00111101100110001000001
312220212022200120011101112000
422101001130213230301001
521404220203013021101
6240005423310254213
712336666200566500
oct1221013447546101
9186768616141460
1045150250126401
111342812814a412
1250925074b7369
131c2685b996264
14b213d8922837
155346dce79486
hex29105c9ecc41

45150250126401 has 48 divisors (see below), whose sum is σ = 77810814273600. Its totient is φ = 25799857969536.

The previous prime is 45150250126379. The next prime is 45150250126439. The reversal of 45150250126401 is 10462105205154.

45150250126401 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 0 + 2 + 5 + 0 + 1 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 45150250126401 - 223 = 45150241737793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45150250126451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199862530 + ... + 200088308.

It is an arithmetic number, because the mean of its divisors is an integer number (1621058630700).

Almost surely, 245150250126401 is an apocalyptic number.

It is an amenable number.

45150250126401 is a deficient number, since it is larger than the sum of its proper divisors (32660564147199).

45150250126401 is a wasteful number, since it uses less digits than its factorization.

45150250126401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376955 (or 376942 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 45150250126401 in words is "forty-five trillion, one hundred fifty billion, two hundred fifty million, one hundred twenty-six thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 151153 225779 453459 677337 1058071 1360377 1580453 2032011 3174213 4081131 4741359 6096033 7406497 9522639 11063171 14224077 22219491 28567917 33189513 42672231 66658473 99568539 199975419 298705617 34127173187 102381519561 238890212309 307144558683 716670636927 921433676049 1672231486163 2150011910781 5016694458489 6450035732343 15050083375467 45150250126401