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59426388768 = 2531932580257
BaseRepresentation
bin110111010110000101…
…101011101100100000
312200101112020100001210
4313112011223230200
51433201123420033
643144453430120
74202432653515
oct672605535440
9180345210053
1059426388768
112322571349a
12b62593b340
1357b0970966
142c3a61930c
15182c1e8d63
hexdd616bb20

59426388768 has 48 divisors (see below), whose sum is σ = 164204500320. Its totient is φ = 18766227456.

The previous prime is 59426388719. The next prime is 59426388779. The reversal of 59426388768 is 86788362495.

59426388768 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 59426388699 and 59426388708.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16288305 + ... + 16291952.

It is an arithmetic number, because the mean of its divisors is an integer number (3420927090).

Almost surely, 259426388768 is an apocalyptic number.

It is an amenable number.

59426388768 is an abundant number, since it is smaller than the sum of its proper divisors (104778111552).

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

59426388768 is a wasteful number, since it uses less digits than its factorization.

59426388768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32580289 (or 32580281 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 59426388768 in words is "fifty-nine billion, four hundred twenty-six million, three hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 32580257 65160514 97740771 130321028 195481542 260642056 390963084 521284112 619024883 781926168 1042568224 1238049766 1563852336 1857074649 2476099532 3127704672 3714149298 4952199064 7428298596 9904398128 14856597192 19808796256 29713194384 59426388768