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13980633930 = 23251033594201
BaseRepresentation
bin11010000010100111…
…11000101101001010
31100002100000210022200
431001103320231022
5212113020241210
610231141301030
71003311266454
oct150123705512
940070023280
1013980633930
115a2478121a
122862104776
13141a5bb173
14968ab52d4
1556c5aa0c0
hex3414f8b4a

13980633930 has 96 divisors (see below), whose sum is σ = 36813553920. Its totient is φ = 3680812800.

The previous prime is 13980633913. The next prime is 13980633971. The reversal of 13980633930 is 3933608931.

13980633930 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 0 + 633 + 9 + 3 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325830 + ... + 3330030.

It is an arithmetic number, because the mean of its divisors is an integer number (383474520).

Almost surely, 213980633930 is an apocalyptic number.

13980633930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13980633930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406776960).

13980633930 is an abundant number, since it is smaller than the sum of its proper divisors (22832919990).

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

13980633930 is a wasteful number, since it uses less digits than its factorization.

13980633930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13980633930 in words is "thirteen billion, nine hundred eighty million, six hundred thirty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 359 515 618 718 927 1030 1077 1545 1795 1854 2154 3090 3231 3590 4201 4635 5385 6462 8402 9270 10770 12603 16155 21005 25206 32310 36977 37809 42010 63015 73954 75618 110931 126030 184885 189045 221862 332793 369770 378090 432703 554655 665586 865406 1109310 1298109 1508159 1663965 2163515 2596218 3016318 3327930 3894327 4327030 4524477 6490545 7540795 7788654 9048954 12981090 13573431 15081590 19471635 22622385 27146862 38943270 45244770 67867155 135734310 155340377 310680754 466021131 776701885 932042262 1398063393 1553403770 2330105655 2796126786 4660211310 6990316965 13980633930