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2131093337472 = 2732112172361641
BaseRepresentation
bin11111000000101111000…
…011111011010110000000
321112201201120002101122100
4133000233003323112000
5234403434343244342
64311002154110400
7306652323326151
oct37005703732600
97481646071570
102131093337472
117518786a4600
122a502aa1b400
13125c65ac6148
1475207241928
153a67bd0ce4c
hex1f02f0fb580

2131093337472 has 1152 divisors, whose sum is σ = 7581334138560. Its totient is φ = 570949632000.

The previous prime is 2131093337393. The next prime is 2131093337491. The reversal of 2131093337472 is 2747333901312.

2131093337472 is a `hidden beast` number, since 2 + 13 + 109 + 33 + 37 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3324638272 + ... + 3324638912.

Almost surely, 22131093337472 is an apocalyptic number.

2131093337472 is a gapful number since it is divisible by the number (22) 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 2131093337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790667069280).

2131093337472 is an abundant number, since it is smaller than the sum of its proper divisors (5450240801088).

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

2131093337472 is a wasteful number, since it uses less digits than its factorization.

2131093337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 2131093337472 in words is "two trillion, one hundred thirty-one billion, ninety-three million, three hundred thirty-seven thousand, four hundred seventy-two".