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52948444896 = 25321396072179
BaseRepresentation
bin110001010011111110…
…010010011011100000
312001200001211200122200
4301103332102123200
51331414300214041
640154004533200
73553053233004
oct612376223340
9161601750580
1052948444896
1120501020376
12a3183b1200
134cba873089
1427c4156704
15159d6531b6
hexc53f926e0

52948444896 has 144 divisors (see below), whose sum is σ = 151974950400. Its totient is φ = 17485611264.

The previous prime is 52948444891. The next prime is 52948444933. The reversal of 52948444896 is 69844484925.

52948444896 is a `hidden beast` number, since 5 + 29 + 4 + 84 + 448 + 96 = 666.

52948444896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52948444891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24298335 + ... + 24300513.

It is an arithmetic number, because the mean of its divisors is an integer number (1055381600).

Almost surely, 252948444896 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 52948444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75987475200).

52948444896 is an abundant number, since it is smaller than the sum of its proper divisors (99026505504).

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

52948444896 is a wasteful number, since it uses less digits than its factorization.

52948444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2930 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 52948444896 in words is "fifty-two billion, nine hundred forty-eight million, four hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 607 834 1112 1214 1251 1668 1821 2179 2224 2428 2502 3336 3642 4358 4448 4856 5004 5463 6537 6672 7284 8716 9712 10008 10926 13074 13344 14568 17432 19424 19611 20016 21852 26148 29136 34864 39222 40032 43704 52296 58272 69728 78444 84373 87408 104592 156888 168746 174816 209184 253119 302881 313776 337492 506238 605762 627552 674984 759357 908643 1012476 1211524 1322653 1349968 1518714 1817286 2024952 2423048 2645306 2699936 2725929 3037428 3634572 3967959 4049904 4846096 5290612 5451858 6074856 7269144 7935918 8099808 9692192 10581224 10903716 11903877 12149712 14538288 15871836 21162448 21807432 23807754 24299424 29076576 31743672 42324896 43614864 47615508 63487344 87229728 95231016 126974688 183848767 190462032 367697534 380924064 551546301 735395068 1103092602 1470790136 1654638903 2206185204 2941580272 3309277806 4412370408 5883160544 6618555612 8824740816 13237111224 17649481632 26474222448 52948444896