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252897530100 = 223521749587751
BaseRepresentation
bin1110101110000111011…
…1100001000011110100
3220011202212022122011220
43223201313201003310
513120413231430400
6312102435430340
724162015352245
oct3534167410364
9804685278156
10252897530100
1198287076526
124101aa553b0
131ab04476647
14c351582ccc
1568a23bb7a0
hex3ae1de10f4

252897530100 has 72 divisors (see below), whose sum is σ = 774759037248. Its totient is φ = 63472320000.

The previous prime is 252897530059. The next prime is 252897530141. The reversal of 252897530100 is 1035798252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252897530059) and next prime (252897530141).

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, 24788776 + ... + 24798975.

It is an arithmetic number, because the mean of its divisors is an integer number (10760542184).

Almost surely, 2252897530100 is an apocalyptic number.

252897530100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252897530100 is an abundant number, since it is smaller than the sum of its proper divisors (521861507148).

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

252897530100 is a wasteful number, since it uses less digits than its factorization.

252897530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49587785 (or 49587778 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 252897530100 in words is "two hundred fifty-two billion, eight hundred ninety-seven million, five hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 49587751 99175502 148763253 198351004 247938755 297526506 495877510 595053012 743816265 842991767 991755020 1239693775 1487632530 1685983534 2479387550 2528975301 2975265060 3371967068 3719081325 4214958835 4958775100 5057950602 7438162650 8429917670 10115901204 12644876505 14876325300 16859835340 21074794175 25289753010 42149588350 50579506020 63224382525 84299176700 126448765050 252897530100