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416042793888 = 25319228093637
BaseRepresentation
bin1100000110111100001…
…01010011101110100000
31110202212201220201222020
412003132011103232200
523304023423401023
6515043304541440
742025633253601
oct6033605235640
91422781821866
10416042793888
11150496346947
126876ba81880
13303042289a7
14161caab3da8
15ac50043de3
hex60de153ba0

416042793888 has 48 divisors (see below), whose sum is σ = 1149591935520. Its totient is φ = 131381934336.

The previous prime is 416042793871. The next prime is 416042793911. The reversal of 416042793888 is 888397240614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4160427938882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114044995 + ... + 114048642.

It is an arithmetic number, because the mean of its divisors is an integer number (23949831990).

Almost surely, 2416042793888 is an apocalyptic number.

416042793888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416042793888 is an abundant number, since it is smaller than the sum of its proper divisors (733549141632).

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

416042793888 is a wasteful number, since it uses less digits than its factorization.

416042793888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228093669 (or 228093661 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 416042793888 in words is "four hundred sixteen billion, forty-two million, seven hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 228093637 456187274 684280911 912374548 1368561822 1824749096 2737123644 3649498192 4333779103 5474247288 7298996384 8667558206 10948494576 13001337309 17335116412 21896989152 26002674618 34670232824 52005349236 69340465648 104010698472 138680931296 208021396944 416042793888