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56410400401464 = 23310721966666823
BaseRepresentation
bin11001101001110000100011…
…11000001010100000111000
321101201210002210110022201010
430310320101320022200320
524343212000000321324
6315550325153153520
714611342210661424
oct1464702170124070
9241653083408633
1056410400401464
1116a7957545744a
1263b0868b5b8a0
13256262a0307c5
14dd03c6989b84
1567c56d5e1829
hex334e11e0a838

56410400401464 has 32 divisors (see below), whose sum is σ = 142344001019520. Its totient is φ = 18627733465056.

The previous prime is 56410400401457. The next prime is 56410400401471. The reversal of 56410400401464 is 46410400401465.

It is an interprime number because it is at equal distance from previous prime (56410400401457) and next prime (56410400401471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10983330844 + ... + 10983335979.

It is an arithmetic number, because the mean of its divisors is an integer number (4448250031860).

Almost surely, 256410400401464 is an apocalyptic number.

It is an amenable number.

56410400401464 is an abundant number, since it is smaller than the sum of its proper divisors (85933600618056).

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

56410400401464 is a wasteful number, since it uses less digits than its factorization.

56410400401464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21966666939 (or 21966666935 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Subtracting from 56410400401464 its reverse (46410400401465), we obtain a palindrome (9999999999999).

The spelling of 56410400401464 in words is "fifty-six trillion, four hundred ten billion, four hundred million, four hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 21966666823 43933333646 65900000469 87866667292 131800000938 175733334584 263600001876 527200003752 2350433350061 4700866700122 7051300050183 9401733400244 14102600100366 18803466800488 28205200200732 56410400401464