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51244501300 = 22521015579109
BaseRepresentation
bin101111101110011010…
…010000100100110100
311220021022120101110121
4233232122100210310
51314422043020200
635312535301324
73462613034266
oct575632204464
9156238511417
1051244501300
111a807204323
129b2181a844
134aa8845825
1426a1b25b36
1514edc70e1a
hexbee690934

51244501300 has 72 divisors (see below), whose sum is σ = 112515532920. Its totient is φ = 20256192000.

The previous prime is 51244501201. The next prime is 51244501339. The reversal of 51244501300 is 310544215.

It is a happy number.

51244501300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 21537910564 + 29706590736 = 146758^2 + 172356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5621146 + ... + 5630254.

It is an arithmetic number, because the mean of its divisors is an integer number (1562715735).

Almost surely, 251244501300 is an apocalyptic number.

51244501300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51244501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56257766460).

51244501300 is an abundant number, since it is smaller than the sum of its proper divisors (61271031620).

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

51244501300 is a wasteful number, since it uses less digits than its factorization.

51244501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 51244501300 in words is "fifty-one billion, two hundred forty-four million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 557 1010 1114 2020 2228 2525 2785 5050 5570 9109 10100 11140 13925 18218 27850 36436 45545 55700 56257 91090 112514 182180 225028 227725 281285 455450 562570 910900 920009 1125140 1406425 1840018 2812850 3680036 4600045 5073713 5625700 9200090 10147426 18400180 20294852 23000225 25368565 46000450 50737130 92000900 101474260 126842825 253685650 507371300 512445013 1024890026 2049780052 2562225065 5124450130 10248900260 12811125325 25622250650 51244501300