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51025614432 = 25313181225889
BaseRepresentation
bin101111100001010111…
…010001011001100000
311212201001200210010120
4233201113101121200
51314000024130212
635235120000240
73454314365202
oct574127213140
9155631623116
1051025614432
111a7046a1391
129a80460080
134a723a7980
142680a28772
1514d993588c
hexbe15d1660

51025614432 has 96 divisors (see below), whose sum is σ = 145043065440. Its totient is φ = 15613378560.

The previous prime is 51025614371. The next prime is 51025614439. The reversal of 51025614432 is 23441652015.

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

It is a super-2 number, since 2×510256144322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51025614393 and 51025614402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51025614439) by changing a digit.

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, 112944 + ... + 338832.

It is an arithmetic number, because the mean of its divisors is an integer number (1510865265).

Almost surely, 251025614432 is an apocalyptic number.

51025614432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is a pronic number, being equal to 225888×225889.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51025614432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72521532720).

51025614432 is an abundant number, since it is smaller than the sum of its proper divisors (94017451008).

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

51025614432 is a wasteful number, since it uses less digits than its factorization.

51025614432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226096 (or 226088 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 51025614432 in words is "fifty-one billion, twenty-five million, six hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 181 208 312 362 416 543 624 724 1086 1248 1448 2172 2353 2896 4344 4706 5792 7059 8688 9412 14118 17376 18824 28236 37648 56472 75296 112944 225888 225889 451778 677667 903556 1355334 1807112 2710668 2936557 3614224 5421336 5873114 7228448 8809671 10842672 11746228 17619342 21685344 23492456 35238684 40885909 46984912 70477368 81771818 93969824 122657727 140954736 163543636 245315454 281909472 327087272 490630908 531516817 654174544 981261816 1063033634 1308349088 1594550451 1962523632 2126067268 3189100902 3925047264 4252134536 6378201804 8504269072 12756403608 17008538144 25512807216 51025614432