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13757315480 = 2354147178481
BaseRepresentation
bin11001100111111111…
…11111100110011000
31022111202211000222222
430303333333212120
5211133333043410
610153043003212
7664630152326
oct146377774630
938452730888
1013757315480
11591a711817
1227bb369508
1313b325b17c
14947182d16
15557b96955
hex333fff998

13757315480 has 64 divisors (see below), whose sum is σ = 32383774080. Its totient is φ = 5254451200.

The previous prime is 13757315461. The next prime is 13757315483. The reversal of 13757315480 is 8451375731.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757315483) 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 15 ways as a sum of consecutive naturals, for example, 12161 + ... + 166320.

It is an arithmetic number, because the mean of its divisors is an integer number (505996470).

Almost surely, 213757315480 is an apocalyptic number.

13757315480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13757315480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191887040).

13757315480 is an abundant number, since it is smaller than the sum of its proper divisors (18626458600).

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

13757315480 is a wasteful number, since it uses less digits than its factorization.

13757315480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178580 (or 178576 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 13757315480 in words is "thirteen billion, seven hundred fifty-seven million, three hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 47 82 94 164 188 205 235 328 376 410 470 820 940 1640 1880 1927 3854 7708 9635 15416 19270 38540 77080 178481 356962 713924 892405 1427848 1784810 3569620 7139240 7317721 8388607 14635442 16777214 29270884 33554428 36588605 41943035 58541768 67108856 73177210 83886070 146354420 167772140 292708840 335544280 343932887 687865774 1375731548 1719664435 2751463096 3439328870 6878657740 13757315480