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46990833168 = 2433188735603
BaseRepresentation
bin101011110000110111…
…110011011000010000
311111021212112122202110
4223300313303120100
51232214123130133
633330504345320
73252322330416
oct536067633020
9144255478673
1046990833168
1118a24111514
129135175240
13457b4c8c36
1423bac1d2b6
1513505dec63
hexaf0df3610

46990833168 has 80 divisors (see below), whose sum is σ = 125453684736. Its totient is φ = 15140818560.

The previous prime is 46990833133. The next prime is 46990833181. The reversal of 46990833168 is 86133809964.

It is a happy number.

46990833168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302055 + ... + 1337657.

Almost surely, 246990833168 is an apocalyptic number.

46990833168 is a gapful number since it is divisible by the number (48) 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 46990833168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726842368).

46990833168 is an abundant number, since it is smaller than the sum of its proper divisors (78462851568).

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

46990833168 is a wasteful number, since it uses less digits than its factorization.

46990833168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36532 (or 36526 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 46990833168 in words is "forty-six billion, nine hundred ninety million, eight hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 887 1488 1774 2661 3548 5322 7096 10644 14192 21288 27497 35603 42576 54994 71206 82491 106809 109988 142412 164982 213618 219976 284824 329964 427236 439952 569648 659928 854472 1103693 1319856 1708944 2207386 3311079 4414772 6622158 8829544 13244316 17659088 26488632 31579861 52977264 63159722 94739583 126319444 189479166 252638888 378958332 505277776 757916664 978975691 1515833328 1957951382 2936927073 3915902764 5873854146 7831805528 11747708292 15663611056 23495416584 46990833168