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52417967625 = 3253291606681
BaseRepresentation
bin110000110100010110…
…101011011000001001
312000022002122122122100
4300310112223120021
51324322444431000
640025214544013
73533652242022
oct606426533011
9160262578570
1052417967625
1120259637a01
12a1aa808009
134c349a99ba
142773909c49
15156bcb9a00
hexc345ab609

52417967625 has 48 divisors (see below), whose sum is σ = 97750532880. Its totient is φ = 26992224000.

The previous prime is 52417967617. The next prime is 52417967647. The reversal of 52417967625 is 52676971425.

It is a happy number.

52417967625 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 7 + 9 + 6 + 7 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20698001424 + 31719966201 = 143868^2 + 178101^2 .

It is not a de Polignac number, because 52417967625 - 23 = 52417967617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770716 + ... + 835965.

It is an arithmetic number, because the mean of its divisors is an integer number (2036469435).

Almost surely, 252417967625 is an apocalyptic number.

It is an amenable number.

52417967625 is a deficient number, since it is larger than the sum of its proper divisors (45332565255).

52417967625 is a wasteful number, since it uses less digits than its factorization.

52417967625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606731 (or 1606718 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 52417967625 in words is "fifty-two billion, four hundred seventeen million, nine hundred sixty-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 1606681 4820043 8033405 14460129 24100215 40167025 46593749 72300645 120501075 139781247 200835125 232968745 361503225 419343741 602505375 698906235 1164843725 1807516125 2096718705 3494531175 5824218625 10483593525 17472655875 52417967625