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12554998752 = 253199077589
BaseRepresentation
bin10111011000101011…
…00001001111100000
31012101222110000111210
423230111201033200
5201203034430002
65433453110120
7623060504622
oct135425411740
935358400453
1012554998752
115362a7342a
122524788340
13125113535a
1487160cc12
154d734e96c
hex2ec5613e0

12554998752 has 96 divisors (see below), whose sum is σ = 34734268800. Its totient is φ = 3959843328.

The previous prime is 12554998723. The next prime is 12554998783. The reversal of 12554998752 is 25789945521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 12554998692 and 12554998701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650574 + ... + 1658162.

It is an arithmetic number, because the mean of its divisors is an integer number (361815300).

Almost surely, 212554998752 is an apocalyptic number.

12554998752 is a gapful number since it is divisible by the number (12) 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 12554998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367134400).

12554998752 is an abundant number, since it is smaller than the sum of its proper divisors (22179270048).

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

12554998752 is a wasteful number, since it uses less digits than its factorization.

12554998752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8520 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 57.

The spelling of 12554998752 in words is "twelve billion, five hundred fifty-four million, nine hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 907 912 1814 1824 2721 3628 5442 7256 7589 10884 14512 15178 17233 21768 22767 29024 30356 34466 43536 45534 51699 60712 68932 87072 91068 103398 121424 137864 144191 182136 206796 242848 275728 288382 364272 413592 432573 551456 576764 728544 827184 865146 1153528 1654368 1730292 2307056 3460584 4614112 6883223 6921168 13766446 13842336 20649669 27532892 41299338 55065784 82598676 110131568 130781237 165197352 220263136 261562474 330394704 392343711 523124948 660789408 784687422 1046249896 1569374844 2092499792 3138749688 4184999584 6277499376 12554998752