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50144575700 = 225229100917137
BaseRepresentation
bin101110101100110110…
…011000000011010100
311210102122212101012102
4232230312120003110
51310144002410300
635011444141232
73423425601152
oct565466300324
9153378771172
1050144575700
111a2a233a9aa
129875397818
1349619bc98b
1425d9a063d2
1514874020d5
hexbacd980d4

50144575700 has 72 divisors (see below), whose sum is σ = 112684063800. Its totient is φ = 19345858560.

The previous prime is 50144575699. The next prime is 50144575703. The reversal of 50144575700 is 757544105.

It can be written as a sum of positive squares in 12 ways, for example, as 34418412484 + 15726163216 = 185522^2 + 125404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50144575703) 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 23 ways as a sum of consecutive naturals, for example, 2917532 + ... + 2934668.

Almost surely, 250144575700 is an apocalyptic number.

50144575700 is a gapful number since it is divisible by the number (50) 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 50144575700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56342031900).

50144575700 is an abundant number, since it is smaller than the sum of its proper divisors (62539488100).

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

50144575700 is a wasteful number, since it uses less digits than its factorization.

50144575700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18189 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 38.

The spelling of 50144575700 in words is "fifty billion, one hundred forty-four million, five hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1009 1450 2018 2900 4036 5045 10090 17137 20180 25225 29261 34274 50450 58522 68548 85685 100900 117044 146305 171370 292610 342740 428425 496973 585220 731525 856850 993946 1463050 1713700 1987892 2484865 2926100 4969730 9939460 12424325 17291233 24848650 34582466 49697300 69164932 86456165 172912330 345824660 432280825 501445757 864561650 1002891514 1729123300 2005783028 2507228785 5014457570 10028915140 12536143925 25072287850 50144575700