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51515380900 = 2252226972
BaseRepresentation
bin101111111110100011…
…100101010010100100
311220222012021111102101
4233332203211102210
51321000414142100
635355453221444
73502412340604
oct577643452244
9156865244371
1051515380900
111a9360a9165
129b98491884
134b1c9b8b09
1426c9ab8c04
15151792b86a
hexbfe8e54a4

51515380900 has 27 divisors (see below), whose sum is σ = 111793302019. Its totient is φ = 20605244480.

The previous prime is 51515380853. The next prime is 51515380981. The reversal of 51515380900 is 908351515.

The square root of 51515380900 is 226970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30620100196 + 20895280704 = 174986^2 + 144552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51515380900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2258352 + ... + 2281048.

Almost surely, 251515380900 is an apocalyptic number.

51515380900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51515380900 is the 226970-th square number.

It is an amenable number.

51515380900 is an abundant number, since it is smaller than the sum of its proper divisors (60277921119).

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

51515380900 is an frugal number, since it uses more digits than its factorization.

51515380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45408 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 51515380900 in words is "fifty-one billion, five hundred fifteen million, three hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22697 45394 90788 113485 226970 453940 567425 1134850 2269700 515153809 1030307618 2060615236 2575769045 5151538090 10303076180 12878845225 25757690450 51515380900