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468125552825 = 527171271239001
BaseRepresentation
bin1101100111111100111…
…01010001000010111001
31122202022110211000201222
412303332131101002321
530132210120142300
6555015351121425
745551405355050
oct6637635210271
91582273730658
10468125552825
11170592741577
1276886373275
13351b462ab48
141892bc83397
15c29c697785
hex6cfe7510b9

468125552825 has 48 divisors (see below), whose sum is σ = 707955830784. Its totient is φ = 299738880000.

The previous prime is 468125552767. The next prime is 468125552833. The reversal of 468125552825 is 528255521864.

It is a happy number.

It is not a de Polignac number, because 468125552825 - 26 = 468125552761 is a prime.

It is a Duffinian number.

It is a Curzon number.

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, 241676 + ... + 997325.

It is an arithmetic number, because the mean of its divisors is an integer number (14749079808).

Almost surely, 2468125552825 is an apocalyptic number.

It is an amenable number.

468125552825 is a deficient number, since it is larger than the sum of its proper divisors (239830277959).

468125552825 is a wasteful number, since it uses less digits than its factorization.

468125552825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239162 (or 1239157 counting only the distinct ones).

The product of its digits is 7680000, while the sum is 53.

The spelling of 468125552825 in words is "four hundred sixty-eight billion, one hundred twenty-five million, five hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 127 175 425 595 635 889 2159 2975 3175 4445 10795 15113 22225 53975 75565 377825 1239001 6195005 8673007 21063017 30975025 43365035 105315085 147441119 157353127 216825175 526575425 737205595 786765635 1101471889 2675003159 3686027975 3933828175 5507359445 13375015795 18725022113 27536797225 66875078975 93625110565 468125552825