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13912071527900 = 22527313173173811
BaseRepresentation
bin1100101001110010100000…
…0101001101110111011100
31211020222111011222202200202
43022130220011031313130
53310413410302343100
645331041210443032
72634054046565000
oct312345005156734
954228434882622
1013912071527900
114484092766127
121688304733478
1379bb97361130
143614c2728700
15191d418627d5
hexca72814dddc

13912071527900 has 1152 divisors, whose sum is σ = 42058908057600. Its totient is φ = 3950456832000.

The previous prime is 13912071527863. The next prime is 13912071527903. The reversal of 13912071527900 is 972517021931.

13912071527900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13912071527903) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17154218495 + ... + 17154219305.

It is an arithmetic number, because the mean of its divisors is an integer number (36509468800).

Almost surely, 213912071527900 is an apocalyptic number.

13912071527900 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 13912071527900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029454028800).

13912071527900 is an abundant number, since it is smaller than the sum of its proper divisors (28146836529700).

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

13912071527900 is a wasteful number, since it uses less digits than its factorization.

13912071527900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 47.

The spelling of 13912071527900 in words is "thirteen trillion, nine hundred twelve billion, seventy-one million, five hundred twenty-seven thousand, nine hundred".