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232535045235520 = 2655817971249013
BaseRepresentation
bin110100110111110101001000…
…110001001110001101000000
31010111100010121010011210200001
4310313311020301032031000
5220434323233040014040
62142321043002005344
766660050123666656
oct6467651061161500
91114303533153601
10232535045235520
116810261694a845
12220b6a241a6854
139c99c647b17c1
14415ca831a6dd6
151bd3b8449259a
hexd37d48c4e340

232535045235520 has 56 divisors (see below), whose sum is σ = 553725471545064. Its totient is φ = 93013783750656.

The previous prime is 232535045235499. The next prime is 232535045235523. The reversal of 232535045235520 is 25532540535232.

It can be written as a sum of positive squares in 4 ways, for example, as 40464051210496 + 192070994025024 = 6361136^2 + 13858968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232535045235523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185550534 + ... + 186799546.

It is an arithmetic number, because the mean of its divisors is an integer number (9887954849019).

Almost surely, 2232535045235520 is an apocalyptic number.

232535045235520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232535045235520 is an abundant number, since it is smaller than the sum of its proper divisors (321190426309544).

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

232535045235520 is a wasteful number, since it uses less digits than its factorization.

232535045235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830827 (or 1830817 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 46.

The spelling of 232535045235520 in words is "two hundred thirty-two trillion, five hundred thirty-five billion, forty-five million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 581797 1163594 1249013 2327188 2498026 2908985 4654376 4996052 5817970 6245065 9308752 9992104 11635940 12490130 18617504 19984208 23271880 24980260 37235008 39968416 46543760 49960520 79936832 93087520 99921040 186175040 199842080 399684160 726672016361 1453344032722 2906688065444 3633360081805 5813376130888 7266720163610 11626752261776 14533440327220 23253504523552 29066880654440 46507009047104 58133761308880 116267522617760 232535045235520