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131989396410 = 232547533371747
BaseRepresentation
bin111101011101100101…
…1100101101110111010
3110121200120100001110100
41322323023211232322
54130303241141120
6140345102500230
712351551233614
oct1727313455672
9417616301410
10131989396410
1150a816340a3
12216b6b94676
13c5a60a8681
1465617a3db4
15367782e490
hex1ebb2e5bba

131989396410 has 192 divisors, whose sum is σ = 358351299072. Its totient is φ = 33678747648.

The previous prime is 131989396391. The next prime is 131989396433. The reversal of 131989396410 is 14693989131.

131989396410 is a `hidden beast` number, since 1 + 3 + 198 + 9 + 39 + 6 + 410 = 666.

It is a super-2 number, since 2×1319893964102 (a number of 23 digits) contains 22 as substring.

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, 75551157 + ... + 75552903.

It is an arithmetic number, because the mean of its divisors is an integer number (1866413016).

Almost surely, 2131989396410 is an apocalyptic number.

131989396410 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 131989396410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179175649536).

131989396410 is an abundant number, since it is smaller than the sum of its proper divisors (226361902662).

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

131989396410 is a wasteful number, since it uses less digits than its factorization.

131989396410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 131989396410 in words is "one hundred thirty-one billion, nine hundred eighty-nine million, three hundred ninety-six thousand, four hundred ten".