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13820481350 = 2521337956101
BaseRepresentation
bin11001101111100001…
…11100111101000110
31022200011200012021122
430313300330331012
5211301020400400
610203220513542
7666325103354
oct146760747506
938604605248
1013820481350
115952335215
12281854b8b2
1313c3376120
149517067d4
1555d4c2685
hex337c3cf46

13820481350 has 48 divisors (see below), whose sum is σ = 27757025520. Its totient is φ = 5089392000.

The previous prime is 13820481341. The next prime is 13820481359. The reversal of 13820481350 is 5318402831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13820481341) and next prime (13820481359).

It is a self number, because there is not a number n which added to its sum of digits gives 13820481350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820481359) 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, 218300 + ... + 274400.

It is an arithmetic number, because the mean of its divisors is an integer number (578271365).

Almost surely, 213820481350 is an apocalyptic number.

13820481350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13820481350 is an abundant number, since it is smaller than the sum of its proper divisors (13936544170).

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

13820481350 is a wasteful number, since it uses less digits than its factorization.

13820481350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56505 (or 56500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 13820481350 in words is "thirteen billion, eight hundred twenty million, four hundred eighty-one thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 379 650 758 1895 3790 4927 9475 9854 18950 24635 49270 56101 112202 123175 246350 280505 561010 729313 1402525 1458626 2805050 3646565 7293130 18232825 21262279 36465650 42524558 106311395 212622790 276409627 531556975 552819254 1063113950 1382048135 2764096270 6910240675 13820481350