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53006819944 = 231317197152189
BaseRepresentation
bin110001010111011100…
…111110001001101000
312001211010200110011111
4301113130332021220
51332024221214234
640203452040104
73554362351441
oct612734761150
9161733613144
1053006819944
1120530a71411
12a333a63034
134cc99a1520
1427cbbd02c8
1515a3834664
hexc5773e268

53006819944 has 64 divisors (see below), whose sum is σ = 113905083600. Its totient is φ = 22908555264.

The previous prime is 53006819909. The next prime is 53006819953. The reversal of 53006819944 is 44991860035.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39576327844 + 13430492100 = 198938^2 + 115890^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272202 + ... + 424390.

Almost surely, 253006819944 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 53006819944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56952541800).

53006819944 is an abundant number, since it is smaller than the sum of its proper divisors (60898263656).

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

53006819944 is a wasteful number, since it uses less digits than its factorization.

53006819944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152422 (or 152418 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 53006819944 in words is "fifty-three billion, six million, eight hundred nineteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 197 221 394 442 788 884 1576 1768 2561 3349 5122 6698 10244 13396 20488 26792 43537 87074 152189 174148 304378 348296 608756 1217512 1978457 2587213 3956914 5174426 7913828 10348852 15827656 20697704 29981233 33633769 59962466 67267538 119924932 134535076 239849864 269070152 389756029 509680961 779512058 1019361922 1559024116 2038723844 3118048232 4077447688 6625852493 13251704986 26503409972 53006819944