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13778021856 = 253500328687
BaseRepresentation
bin11001101010011101…
…11110110111100000
31022120012210000210210
430311032332313200
5211204133144411
610155102454120
7665301152634
oct146516766740
938505700723
1013778021856
115930374825
122806294340
1313b762ac71
14949c12dc4
155598d6ca6
hex3353bede0

13778021856 has 48 divisors (see below), whose sum is σ = 36175797504. Its totient is φ = 4591595904.

The previous prime is 13778021837. The next prime is 13778021879. The reversal of 13778021856 is 65812087731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465945 + ... + 494631.

It is an arithmetic number, because the mean of its divisors is an integer number (753662448).

Almost surely, 213778021856 is an apocalyptic number.

13778021856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13778021856 is an abundant number, since it is smaller than the sum of its proper divisors (22397775648).

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

13778021856 is a wasteful number, since it uses less digits than its factorization.

13778021856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703 (or 33695 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 13778021856 in words is "thirteen billion, seven hundred seventy-eight million, twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5003 10006 15009 20012 28687 30018 40024 57374 60036 80048 86061 114748 120072 160096 172122 229496 240144 344244 458992 480288 688488 917984 1376976 2753952 143521061 287042122 430563183 574084244 861126366 1148168488 1722252732 2296336976 3444505464 4592673952 6889010928 13778021856