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14776680348 = 223231103128551
BaseRepresentation
bin11011100001100001…
…00011111110011100
31102010210221010201100
431300300203332130
5220230312232343
610442135313100
71032115465503
oct156060437634
942123833640
1014776680348
1162a3061721
122a4481b790
1315164b8651
14a026d183a
155b74009d3
hex370c23f9c

14776680348 has 72 divisors (see below), whose sum is σ = 38931716096. Its totient is φ = 4720356000.

The previous prime is 14776680337. The next prime is 14776680353. The reversal of 14776680348 is 84308667741.

14776680348 is a `hidden beast` number, since 1 + 477 + 66 + 80 + 34 + 8 = 666.

It is a super-2 number, since 2×147766803482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14776680294 and 14776680303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50673 + ... + 179223.

Almost surely, 214776680348 is an apocalyptic number.

14776680348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14776680348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465858048).

14776680348 is an abundant number, since it is smaller than the sum of its proper divisors (24155035748).

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

14776680348 is a wasteful number, since it uses less digits than its factorization.

14776680348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128695 (or 128690 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 14776680348 in words is "fourteen billion, seven hundred seventy-six million, six hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 103 124 186 206 279 309 372 412 558 618 927 1116 1236 1854 3193 3708 6386 9579 12772 19158 28737 38316 57474 114948 128551 257102 385653 514204 771306 1156959 1542612 2313918 3985081 4627836 7970162 11955243 13240753 15940324 23910486 26481506 35865729 39722259 47820972 52963012 71731458 79444518 119166777 143462916 158889036 238333554 410463343 476667108 820926686 1231390029 1641853372 2462780058 3694170087 4925560116 7388340174 14776680348