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53007136576 = 262385742019
BaseRepresentation
bin110001010111011110…
…001011011101000000
312001211011021112111121
4301113132023131000
51332024311332301
640203502522024
73554365140532
oct612736133500
9161734245447
1053007136576
1120531168299
12a333b96314
134cc9a82694
1427cbc73852
1515a38983a1
hexc5778b740

53007136576 has 56 divisors (see below), whose sum is σ = 109890031680. Its totient is φ = 25321055232.

The previous prime is 53007136571. The next prime is 53007136577. The reversal of 53007136576 is 67563170035.

It is a happy number.

53007136576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53007136571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1240495 + ... + 1282513.

Almost surely, 253007136576 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 53007136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54945015840).

53007136576 is an abundant number, since it is smaller than the sum of its proper divisors (56882895104).

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

53007136576 is a wasteful number, since it uses less digits than its factorization.

53007136576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42911 (or 42901 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 43.

The spelling of 53007136576 in words is "fifty-three billion, seven million, one hundred thirty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 857 1472 1714 3428 6856 13712 19711 27424 39422 42019 54848 78844 84038 157688 168076 315376 336152 630752 672304 966437 1261504 1344608 1932874 2689216 3865748 7731496 15462992 30925984 36010283 61851968 72020566 144041132 288082264 576164528 828236509 1152329056 1656473018 2304658112 3312946036 6625892072 13251784144 26503568288 53007136576