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50306806656 = 2732106341081
BaseRepresentation
bin101110110110100001…
…001111001110000000
311210211222010120020100
4232312201033032000
51311012020303111
635035521242400
73430435541541
oct566641171600
9153758116210
1050306806656
111a375976477
1298bb793400
1349894b1a22
1426133964c8
15149679a756
hexbb684f380

50306806656 has 96 divisors (see below), whose sum is σ = 144902787120. Its totient is φ = 16752752640.

The previous prime is 50306806639. The next prime is 50306806663. The reversal of 50306806656 is 65660860305.

50306806656 is a `hidden beast` number, since 503 + 0 + 6 + 80 + 6 + 65 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1204036 + ... + 1245116.

Almost surely, 250306806656 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 50306806656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72451393560).

50306806656 is an abundant number, since it is smaller than the sum of its proper divisors (94595980464).

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

50306806656 is a wasteful number, since it uses less digits than its factorization.

50306806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42164 (or 42149 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 50306806656 in words is "fifty billion, three hundred six million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1063 1152 2126 3189 4252 6378 8504 9567 12756 17008 19134 25512 34016 38268 41081 51024 68032 76536 82162 102048 123243 136064 153072 164324 204096 246486 306144 328648 369729 408192 492972 612288 657296 739458 985944 1224576 1314592 1478916 1971888 2629184 2957832 3943776 5258368 5915664 7887552 11831328 15775104 23662656 43669103 47325312 87338206 131007309 174676412 262014618 349352824 393021927 524029236 698705648 786043854 1048058472 1397411296 1572087708 2096116944 2794822592 3144175416 4192233888 5589645184 6288350832 8384467776 12576701664 16768935552 25153403328 50306806656