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13407400656 = 2432137162073
BaseRepresentation
bin11000111110010010…
…01011001011010000
31021121101101112002200
430133021023023100
5204424243310111
610054223043200
7653151011436
oct143711131320
937541345080
1013407400656
115760145611
122722140500
131358904990
149128d8d56
155370c8256
hex31f24b2d0

13407400656 has 60 divisors (see below), whose sum is σ = 40408421508. Its totient is φ = 4125353472.

The previous prime is 13407400651. The next prime is 13407400663. The reversal of 13407400656 is 65600470431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4662158400 + 8745242256 = 68280^2 + 93516^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13407400656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407400651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3579165 + ... + 3582908.

Almost surely, 213407400656 is an apocalyptic number.

13407400656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13407400656 is an abundant number, since it is smaller than the sum of its proper divisors (27001020852).

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

13407400656 is a wasteful number, since it uses less digits than its factorization.

13407400656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162100 (or 7162091 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13407400656 in words is "thirteen billion, four hundred seven million, four hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7162073 14324146 21486219 28648292 42972438 57296584 64458657 85944876 93106949 114593168 128917314 171889752 186213898 257834628 279320847 343779504 372427796 515669256 558641694 744855592 837962541 1031338512 1117283388 1489711184 1675925082 2234566776 3351850164 4469133552 6703700328 13407400656