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52505260100 = 22524112806161
BaseRepresentation
bin110000111001100011…
…101011000001000100
312000112011220120101222
4300321203223001010
51330012321310400
640042013535512
73536062230026
oct607143530104
9160464816358
1052505260100
11202a393a047
12a213aa4598
134c49ac1457
142781350016
1515747ae185
hexc398eb044

52505260100 has 36 divisors (see below), whose sum is σ = 116715360468. Its totient is φ = 20489856000.

The previous prime is 52505260097. The next prime is 52505260103. The reversal of 52505260100 is 106250525.

It is an interprime number because it is at equal distance from previous prime (52505260097) and next prime (52505260103).

It can be written as a sum of positive squares in 6 ways, for example, as 9632244736 + 42873015364 = 98144^2 + 207058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52505260100.

It is not an unprimeable number, because it can be changed into a prime (52505260103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6398981 + ... + 6407180.

Almost surely, 252505260100 is an apocalyptic number.

52505260100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52505260100 is an abundant number, since it is smaller than the sum of its proper divisors (64210100368).

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

52505260100 is a wasteful number, since it uses less digits than its factorization.

52505260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806216 (or 12806209 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 52505260100 in words is "fifty-two billion, five hundred five million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 12806161 25612322 51224644 64030805 128061610 256123220 320154025 525052601 640308050 1050105202 1280616100 2100210404 2625263005 5250526010 10501052020 13126315025 26252630050 52505260100