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13132779440 = 2451114923613
BaseRepresentation
bin11000011101100011…
…00100111110110000
31020220020122022121112
430032301210332300
5203343442420230
610011053012452
7643304532464
oct141661447660
936806568545
1013132779440
11562a125630
122666184128
131313a51611
148c82504a4
1551ce2dd95
hex30ec64fb0

13132779440 has 40 divisors (see below), whose sum is σ = 33309506448. Its totient is φ = 4775555840.

The previous prime is 13132779403. The next prime is 13132779449. The reversal of 13132779440 is 4497723131.

13132779440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13132779449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7460927 + ... + 7462686.

Almost surely, 213132779440 is an apocalyptic number.

13132779440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132779440 is an abundant number, since it is smaller than the sum of its proper divisors (20176727008).

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

13132779440 is a wasteful number, since it uses less digits than its factorization.

13132779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923637 (or 14923631 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 13132779440 in words is "thirteen billion, one hundred thirty-two million, seven hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 14923613 29847226 59694452 74618065 119388904 149236130 164159743 238777808 298472260 328319486 596944520 656638972 820798715 1193889040 1313277944 1641597430 2626555888 3283194860 6566389720 13132779440