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1388693662944 = 25378272498801
BaseRepresentation
bin10100001101010100100…
…101111010110011100000
311220202110110010100210120
4110031110211322303200
5140223021034203234
62541542420400240
7202221060242160
oct24152445726340
94822413110716
101388693662944
11495a3a407985
121a517a846080
13a0c513a31c3
144b2dab965a0
15261ca75e049
hex1435497ace0

1388693662944 has 96 divisors (see below), whose sum is σ = 4171120240896. Its totient is φ = 396289689600.

The previous prime is 1388693662903. The next prime is 1388693662949. The reversal of 1388693662944 is 4492663968831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388693662949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693657 + ... + 1805144.

It is an arithmetic number, because the mean of its divisors is an integer number (43449169176).

Almost surely, 21388693662944 is an apocalyptic number.

1388693662944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1388693662944 is an abundant number, since it is smaller than the sum of its proper divisors (2782426577952).

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

1388693662944 is a wasteful number, since it uses less digits than its factorization.

1388693662944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499648 (or 2499640 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 69.

The spelling of 1388693662944 in words is "one trillion, three hundred eighty-eight billion, six hundred ninety-three million, six hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 827 1654 2481 3308 4962 5789 6616 9924 11578 13232 17367 19848 23156 26464 34734 39696 46312 69468 79392 92624 138936 185248 277872 555744 2498801 4997602 7496403 9995204 14992806 17491607 19990408 29985612 34983214 39980816 52474821 59971224 69966428 79961632 104949642 119942448 139932856 209899284 239884896 279865712 419798568 559731424 839597136 1679194272 2066508427 4133016854 6199525281 8266033708 12399050562 14465558989 16532067416 24798101124 28931117978 33064134832 43396676967 49596202248 57862235956 66128269664 86793353934 99192404496 115724471912 173586707868 198384808992 231448943824 347173415736 462897887648 694346831472 1388693662944