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1914456871392 = 25313319477739
BaseRepresentation
bin11011110110111110100…
…001011001000111100000
320210000112210100200000120
4123312332201121013200
5222331301424341032
64023253410520240
7255213011623452
oct33667641310740
96700483320016
101914456871392
11678a09aa318a
1226b04b896080
1310b6bcbc8000
14689358722d2
1534bed07062c
hex1bdbe8591e0

1914456871392 has 192 divisors, whose sum is σ = 5730586848000. Its totient is φ = 558059134464.

The previous prime is 1914456871387. The next prime is 1914456871403. The reversal of 1914456871392 is 2931786544191.

It is a super-2 number, since 2×19144568713922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3768459 + ... + 4246197.

It is an arithmetic number, because the mean of its divisors is an integer number (29846806500).

Almost surely, 21914456871392 is an apocalyptic number.

1914456871392 is a gapful number since it is divisible by the number (12) 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 1914456871392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865293424000).

1914456871392 is an abundant number, since it is smaller than the sum of its proper divisors (3816129976608).

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

1914456871392 is a wasteful number, since it uses less digits than its factorization.

1914456871392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477810 (or 477776 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 1914456871392 in words is "one trillion, nine hundred fourteen billion, four hundred fifty-six million, eight hundred seventy-one thousand, three hundred ninety-two".