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10371049920 = 26335721117131
BaseRepresentation
bin10011010100010100…
…11010100111000000
3222202202221220221000
421222022122213000
5132214442044140
64433035332000
7515001320100
oct115212324700
928682856830
1010371049920
114442207340
1220152b1000
13c9383393a
1470554d200
1540a753a30
hex26a29a9c0

10371049920 has 1344 divisors, whose sum is σ = 49535608320. Its totient is φ = 2012774400.

The previous prime is 10371049891. The next prime is 10371049933. The reversal of 10371049920 is 2994017301.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79168255 + ... + 79168385.

Almost surely, 210371049920 is an apocalyptic number.

10371049920 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 10371049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24767804160).

10371049920 is an abundant number, since it is smaller than the sum of its proper divisors (39164558400).

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

10371049920 is a wasteful number, since it uses less digits than its factorization.

10371049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10371049920 in words is "ten billion, three hundred seventy-one million, forty-nine thousand, nine hundred twenty".