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11920520037888 = 29357112314189
BaseRepresentation
bin1010110101110111011001…
…0111001100011000000000
31120012120221112111200200000
42231131312113030120000
53030301211112203023
641204113350400000
72340141412332240
oct255356627143000
946176845450600
1011920520037888
113886511880a00
12140633a060000
1368613c2375c7
142d2d55d33b20
1515a130427243
hexad7765cc600

11920520037888 has 2880 divisors, whose sum is σ = 47924812615680. Its totient is φ = 2890432512000.

The previous prime is 11920520037869. The next prime is 11920520037931. The reversal of 11920520037888 is 88873002502911.

11920520037888 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 0 + 520 + 0 + 37 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133938427348 + ... + 133938427436.

It is an arithmetic number, because the mean of its divisors is an integer number (16640559936).

Almost surely, 211920520037888 is an apocalyptic number.

11920520037888 is a gapful number since it is divisible by the number (18) 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 11920520037888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962406307840).

11920520037888 is an abundant number, since it is smaller than the sum of its proper divisors (36004292577792).

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

11920520037888 is an equidigital number, since it uses as much as digits as its factorization.

11920520037888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11920520037888 in words is "eleven trillion, nine hundred twenty billion, five hundred twenty million, thirty-seven thousand, eight hundred eighty-eight".