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13768144803 = 337212781943
BaseRepresentation
bin11001101001010010…
…10011011110100011
31022112112012020001000
430310221103132203
5211144121113203
610154111043043
7665121204600
oct146451233643
938475166030
1013768144803
115925838a76
122802b10483
1313b558035a
149487a16a7
15558ad54a3
hex334a537a3

13768144803 has 48 divisors (see below), whose sum is σ = 23914536960. Its totient is φ = 7805467152.

The previous prime is 13768144771. The next prime is 13768144823. The reversal of 13768144803 is 30844186731.

It is not a de Polignac number, because 13768144803 - 25 = 13768144771 is a prime.

It is a super-2 number, since 2×137681448032 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13768144823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127050 + ... + 208992.

It is an arithmetic number, because the mean of its divisors is an integer number (498219520).

Almost surely, 213768144803 is an apocalyptic number.

13768144803 is a deficient number, since it is larger than the sum of its proper divisors (10146392157).

13768144803 is a wasteful number, since it uses less digits than its factorization.

13768144803 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82093 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13768144803 in words is "thirteen billion, seven hundred sixty-eight million, one hundred forty-four thousand, eight hundred three".

Divisors: 1 3 7 9 21 27 49 63 127 147 189 381 441 889 1143 1323 2667 3429 6223 8001 18669 24003 56007 81943 168021 245829 573601 737487 1720803 2212461 4015207 5162409 10406761 12045621 15487227 31220283 36136863 72847327 93660849 108410589 218541981 280982547 509931289 655625943 1529793867 1966877829 4589381601 13768144803