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10437690780 = 2236511151431
BaseRepresentation
bin10011011100010001…
…01000010110011100
3222221102100122000000
421232020220112130
5132334022101110
64443415534300
7516440623236
oct115610502634
928842318000
1010437690780
114476893630
12203368a390
13ca45974ba
14710339256
154115191c0
hex26e22859c

10437690780 has 336 divisors, whose sum is σ = 36172459008. Its totient is φ = 2507760000.

The previous prime is 10437690763. The next prime is 10437690797. The reversal of 10437690780 is 8709673401.

It is an interprime number because it is at equal distance from previous prime (10437690763) and next prime (10437690797).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24217165 + ... + 24217595.

It is an arithmetic number, because the mean of its divisors is an integer number (107656128).

Almost surely, 210437690780 is an apocalyptic number.

10437690780 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 10437690780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086229504).

10437690780 is an abundant number, since it is smaller than the sum of its proper divisors (25734768228).

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

10437690780 is a wasteful number, since it uses less digits than its factorization.

10437690780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10437690780 in words is "ten billion, four hundred thirty-seven million, six hundred ninety thousand, seven hundred eighty".