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72406670213725 = 52171019171671641
BaseRepresentation
bin10000011101101001111101…
…110110111000001001011101
3100111101000021100012221211021
4100131221331312320021131
533442302330033314400
6413555055354324141
721152131533643261
oct2035517566701135
9314330240187737
1072406670213725
1121086550774631
128154a93429651
133152bc5785923
1413c470430a0a1
158586e4c9171a
hex41da7ddb825d

72406670213725 has 24 divisors (see below), whose sum is σ = 95066688420648. Its totient is φ = 54517395916800.

The previous prime is 72406670213707. The next prime is 72406670213821. The reversal of 72406670213725 is 52731207660427.

It can be written as a sum of positive squares in 12 ways, for example, as 8418365679364 + 63988304534361 = 2901442^2 + 7999269^2 .

It is not a de Polignac number, because 72406670213725 - 25 = 72406670213693 is a prime.

It is a super-2 number, since 2×724066702137252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42478905 + ... + 44150545.

It is an arithmetic number, because the mean of its divisors is an integer number (3961112017527).

Almost surely, 272406670213725 is an apocalyptic number.

It is an amenable number.

72406670213725 is a deficient number, since it is larger than the sum of its proper divisors (22660018206923).

72406670213725 is a wasteful number, since it uses less digits than its factorization.

72406670213725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773585 (or 1773580 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

It can be divided in two parts, 724066702 and 13725, that added together give a palindrome (724080427).

The spelling of 72406670213725 in words is "seventy-two trillion, four hundred six billion, six hundred seventy million, two hundred thirteen thousand, seven hundred twenty-five".

Divisors: 1 5 17 25 85 425 101917 509585 1671641 1732589 2547925 8358205 8662945 28417897 41791025 43314725 142089485 710447425 170368635797 851843178985 2896266808549 4259215894925 14481334042745 72406670213725