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45048959031825 = 32527149191963179
BaseRepresentation
bin10100011111000110001110…
…01100110101101000010001
312220111122020102002122110200
422033203013030311220101
521401040232003004300
6235451112302445413
712326452125521040
oct1217430714655021
9186448212078420
1045048959031825
1113399179a49901
125076959293869
131c1a138849138
14b1a54a21c557
15531c6070d200
hex28f8c7335a11

45048959031825 has 72 divisors (see below), whose sum is σ = 92833393848000. Its totient is φ = 20455596247680.

The previous prime is 45048959031799. The next prime is 45048959031829. The reversal of 45048959031825 is 52813095984054.

45048959031825 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 8 + 9 + 590 + 3 + 18 + 25 = 666.

It is not a de Polignac number, because 45048959031825 - 214 = 45048959015441 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45048959031829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95746915 + ... + 96216264.

Almost surely, 245048959031825 is an apocalyptic number.

45048959031825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45048959031825 is an abundant number, since it is smaller than the sum of its proper divisors (47784434816175).

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

45048959031825 is a wasteful number, since it uses less digits than its factorization.

45048959031825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191963351 (or 191963343 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 45048959031825 in words is "forty-five trillion, forty-eight billion, nine hundred fifty-nine million, thirty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 149 175 225 315 447 525 745 1043 1341 1575 2235 3129 3725 5215 6705 9387 11175 15645 26075 33525 46935 78225 234675 191963179 575889537 959815895 1343742253 1727668611 2879447685 4031226759 4799079475 6718711265 8638343055 12093680277 14397238425 20156133795 28602513671 33593556325 43191715275 60468401385 85807541013 100780668975 143012568355 200217595697 257422623039 302342006925 429037705065 600652787091 715062841775 1001087978485 1287113115195 1801958361273 2145188525325 3003263935455 5005439892425 6435565575975 9009791806365 15016319677275 45048959031825