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13807690452 = 223210714532467
BaseRepresentation
bin11001101110000000…
…01010001011010100
31022122021121100110200
430313000022023110
5211234232043302
610202042420500
7666111301203
oct146700121324
938567540420
1013807690452
115946099226
122814201730
1313c081814a
1494db3723a
1555c2e781c
hex33700a2d4

13807690452 has 72 divisors (see below), whose sum is σ = 35267502816. Its totient is φ = 4554563904.

The previous prime is 13807690381. The next prime is 13807690459. The reversal of 13807690452 is 25409670831.

13807690452 is a `hidden beast` number, since 138 + 0 + 7 + 69 + 0 + 452 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 13807690398 and 13807690407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807690459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5595723 + ... + 5598189.

It is an arithmetic number, because the mean of its divisors is an integer number (489826428).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13807690452 = 27615380904, but 3⋅13807690452 = 41423071356 is not.

Almost surely, 213807690452 is an apocalyptic number.

13807690452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13807690452 is an abundant number, since it is smaller than the sum of its proper divisors (21459812364).

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

13807690452 is a wasteful number, since it uses less digits than its factorization.

13807690452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13807690452 in words is "thirteen billion, eight hundred seven million, six hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1453 1926 2467 2906 3852 4359 4934 5812 7401 8718 9868 13077 14802 17436 22203 26154 29604 44406 52308 88812 155471 263969 310942 466413 527938 621884 791907 932826 1055876 1399239 1583814 1865652 2375721 2798478 3167628 3584551 4751442 5596956 7169102 9502884 10753653 14338204 21507306 32260959 43014612 64521918 129043836 383546957 767093914 1150640871 1534187828 2301281742 3451922613 4602563484 6903845226 13807690452