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10790771376 = 24372111133691
BaseRepresentation
bin10100000110010111…
…00001101010110000
31000212000201222112010
422003023201222300
5134044414141001
64542431402520
7531256020600
oct120313415260
930760658463
1010790771376
114638122280
122111983440
13102c78b928
147451a8c00
154325108d6
hex2832e1ab0

10790771376 has 240 divisors, whose sum is σ = 35698036608. Its totient is φ = 2777241600.

The previous prime is 10790771359. The next prime is 10790771399. The reversal of 10790771376 is 67317709701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2921691 + ... + 2925381.

Almost surely, 210790771376 is an apocalyptic number.

10790771376 is a gapful number since it is divisible by the number (16) 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 10790771376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849018304).

10790771376 is an abundant number, since it is smaller than the sum of its proper divisors (24907265232).

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

10790771376 is a wasteful number, since it uses less digits than its factorization.

10790771376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 48.

The spelling of 10790771376 in words is "ten billion, seven hundred ninety million, seven hundred seventy-one thousand, three hundred seventy-six".