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13778149464 = 2333107596147
BaseRepresentation
bin11001101010011110…
…11110000001011000
31022120020000111212000
430311033132001120
5211204201240324
610155105321000
7665302223652
oct146517360130
938506014760
1013778149464
115930451692
122806336160
1313b7674081
14949c476d2
1555990e9c9
hex3353de058

13778149464 has 64 divisors (see below), whose sum is σ = 38630390400. Its totient is φ = 4549786272.

The previous prime is 13778149447. The next prime is 13778149501. The reversal of 13778149464 is 46494187731.

It is a happy number.

13778149464 is a `hidden beast` number, since 1 + 3 + 77 + 81 + 494 + 6 + 4 = 666.

13778149464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13778149464.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274962 + ... + 321185.

It is an arithmetic number, because the mean of its divisors is an integer number (603599850).

Almost surely, 213778149464 is an apocalyptic number.

It is an amenable number.

13778149464 is an abundant number, since it is smaller than the sum of its proper divisors (24852240936).

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

13778149464 is a wasteful number, since it uses less digits than its factorization.

13778149464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596269 (or 596259 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 13778149464 in words is "thirteen billion, seven hundred seventy-eight million, one hundred forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 11556 23112 596147 1192294 1788441 2384588 3576882 4769176 5365323 7153764 10730646 14307528 16095969 21461292 32191938 42922584 63787729 64383876 127575458 128767752 191363187 255150916 382726374 510301832 574089561 765452748 1148179122 1530905496 1722268683 2296358244 3444537366 4592716488 6889074732 13778149464