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13759011395376 = 2431337532353601
BaseRepresentation
bin1100100000111000010011…
…1111001001011100110000
31210201100102011100102011120
43020032010333021130300
53300411423404123001
645132445204542240
72620025062122402
oct310160477113460
953640364312146
1013759011395376
114425189266135
1216627090b1980
1378a613b05090
14357d2279ab72
1518cd842b2236
hexc8384fc9730

13759011395376 has 480 divisors, whose sum is σ = 40248937361472. Its totient is φ = 4023248486400.

The previous prime is 13759011395341. The next prime is 13759011395447. The reversal of 13759011395376 is 67359311095731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22893529476 + ... + 22893530076.

Almost surely, 213759011395376 is an apocalyptic number.

13759011395376 is a gapful number since it is divisible by the number (16) 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 13759011395376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124468680736).

13759011395376 is an abundant number, since it is smaller than the sum of its proper divisors (26489925966096).

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

13759011395376 is a wasteful number, since it uses less digits than its factorization.

13759011395376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 16074450, while the sum is 60.

The spelling of 13759011395376 in words is "thirteen trillion, seven hundred fifty-nine billion, eleven million, three hundred ninety-five thousand, three hundred seventy-six".