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13823872470 = 2325314954793
BaseRepresentation
bin11001101111111011…
…11000110111010110
31022200102001111000200
430313331320313112
5211302402404340
610203421321330
7666365656122
oct146775706726
938612044020
1013823872470
115954240aa1
122819706246
1313c3c927c5
14951d4a582
1555d942330
hex337f78dd6

13823872470 has 48 divisors (see below), whose sum is σ = 37101497472. Its totient is φ = 3567450240.

The previous prime is 13823872429. The next prime is 13823872477. The reversal of 13823872470 is 7427832831.

13823872470 is a `hidden beast` number, since 1 + 3 + 82 + 38 + 72 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823872477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474607 + ... + 2480186.

It is an arithmetic number, because the mean of its divisors is an integer number (772947864).

Almost surely, 213823872470 is an apocalyptic number.

13823872470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13823872470 is an abundant number, since it is smaller than the sum of its proper divisors (23277625002).

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

13823872470 is a wasteful number, since it uses less digits than its factorization.

13823872470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954837 (or 4954834 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13823872470 in words is "thirteen billion, eight hundred twenty-three million, eight hundred seventy-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 4954793 9909586 14864379 24773965 29728758 44593137 49547930 74321895 89186274 148643790 153598583 222965685 307197166 445931370 460795749 767992915 921591498 1382387247 1535985830 2303978745 2764774494 4607957490 6911936235 13823872470