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51011819248 = 24131914099161
BaseRepresentation
bin101111100000100010…
…101001011011110000
311212200002201220200211
4233200202221123300
51313433011203443
635233504153504
73454056211045
oct574042513360
9155602656624
1051011819248
111a6a7929905
129a77908894
134a6c587840
14267cc771cc
1514d860d19d
hexbe08a96f0

51011819248 has 80 divisors (see below), whose sum is σ = 112131885600. Its totient is φ = 22286499840.

The previous prime is 51011819239. The next prime is 51011819293. The reversal of 51011819248 is 84291811015.

It is a self number, because there is not a number n which added to its sum of digits gives 51011819248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5563788 + ... + 5572948.

It is an arithmetic number, because the mean of its divisors is an integer number (1401648570).

Almost surely, 251011819248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51011819248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56065942800).

51011819248 is an abundant number, since it is smaller than the sum of its proper divisors (61120066352).

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

51011819248 is a wasteful number, since it uses less digits than its factorization.

51011819248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10604 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The spelling of 51011819248 in words is "fifty-one billion, eleven million, eight hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1409 1976 2818 3952 5636 9161 11272 18317 18322 22544 26771 36634 36644 53542 73268 73288 107084 119093 146536 146576 174059 214168 238186 293072 348023 348118 428336 476372 696046 696236 952744 1392092 1392472 1905488 2262767 2784184 2784944 4525534 5568368 9051068 12907849 18102136 25815698 36204272 51631396 103262792 167802037 206525584 245249131 335604074 490498262 671208148 980996524 1342416296 1961993048 2684832592 3188238703 3923986096 6376477406 12752954812 25505909624 51011819248