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32875831725025 = 52641217892
BaseRepresentation
bin1110111100110100000000…
…10001011000101111100001
311022101220021020110010010011
413132122000101120233201
513302114200410200100
6153530540521404521
76632125520621602
oct736320021305741
9138356236403104
1032875831725025
11a52561aa34a63
12382b681639741
1315462403362a3
148192ad501da9
153c0298652bba
hex1de680458be1

32875831725025 has 27 divisors (see below), whose sum is σ = 40852563519243. Its totient is φ = 26244956313600.

The previous prime is 32875831724993. The next prime is 32875831725071. The reversal of 32875831725025 is 52052713857823.

The square root of 32875831725025 is 5733745.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 260950353889 + 32614881371136 = 510833^2 + 5710944^2 .

It is not a de Polignac number, because 32875831725025 - 25 = 32875831724993 is a prime.

It is a super-2 number, since 2×328758317250252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18376651831 + ... + 18376653619.

Almost surely, 232875831725025 is an apocalyptic number.

32875831725025 is the 5733745-th square number.

32875831725025 is the 2866873-rd centered octagonal number.

It is an amenable number.

32875831725025 is a deficient number, since it is larger than the sum of its proper divisors (7976731794218).

32875831725025 is an frugal number, since it uses more digits than its factorization.

32875831725025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 32875831725025 in words is "thirty-two trillion, eight hundred seventy-five billion, eight hundred thirty-one million, seven hundred twenty-five thousand, twenty-five".

Divisors: 1 5 25 641 1789 3205 8945 16025 44725 410881 1146749 2054405 3200521 5733745 10272025 16002605 28668725 80013025 735066109 2051533961 3675330545 10257669805 18376652725 51288349025 1315033269001 6575166345005 32875831725025