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400761147948 = 22376836985309
BaseRepresentation
bin1011101010011110011…
…10011101001000101100
31102022102201210200200120
411311033032131020230
523031224323213243
6504035050124540
740645143360150
oct5651716351054
91368381720616
10400761147948
11144a64247097
1265806120750
132ba3a23a045
141557b2d7060
15a658648c83
hex5d4f39d22c

400761147948 has 48 divisors (see below), whose sum is σ = 1070261256960. Its totient is φ = 114335521344.

The previous prime is 400761147901. The next prime is 400761147953. The reversal of 400761147948 is 849741167004.

It is a happy number.

It is a super-2 number, since 2×4007611479482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400761147948.

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, 3435283 + ... + 3550026.

It is an arithmetic number, because the mean of its divisors is an integer number (22297109520).

Almost surely, 2400761147948 is an apocalyptic number.

It is an amenable number.

400761147948 is an abundant number, since it is smaller than the sum of its proper divisors (669500109012).

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

400761147948 is a wasteful number, since it uses less digits than its factorization.

400761147948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986006 (or 6986004 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 400761147948 in words is "four hundred billion, seven hundred sixty-one million, one hundred forty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 683 1366 2049 2732 4098 4781 8196 9562 14343 19124 28686 57372 6985309 13970618 20955927 27941236 41911854 48897163 83823708 97794326 146691489 195588652 293382978 586765956 4770966047 9541932094 14312898141 19083864188 28625796282 33396762329 57251592564 66793524658 100190286987 133587049316 200380573974 400761147948