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10740804576 = 2531915737507
BaseRepresentation
bin10100000000011001…
…11010101111100000
31000201112201101221220
422000030322233200
5133444121221301
64533444415040
7530111222025
oct120014725740
930645641856
1010740804576
1146119a44a7
1220b90a7480
131022315688
1473c6bd54c
1542ce40936
hex28033abe0

10740804576 has 96 divisors (see below), whose sum is σ = 29868370560. Its totient is φ = 3370139136.

The previous prime is 10740804553. The next prime is 10740804587. The reversal of 10740804576 is 67540804701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267615 + ... + 305121.

It is an arithmetic number, because the mean of its divisors is an integer number (311128860).

Almost surely, 210740804576 is an apocalyptic number.

10740804576 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 10740804576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934185280).

10740804576 is an abundant number, since it is smaller than the sum of its proper divisors (19127565984).

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

10740804576 is a wasteful number, since it uses less digits than its factorization.

10740804576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37696 (or 37688 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 10740804576 in words is "ten billion, seven hundred forty million, eight hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 157 228 304 314 456 471 608 628 912 942 1256 1824 1884 2512 2983 3768 5024 5966 7536 8949 11932 15072 17898 23864 35796 37507 47728 71592 75014 95456 112521 143184 150028 225042 286368 300056 450084 600112 712633 900168 1200224 1425266 1800336 2137899 2850532 3600672 4275798 5701064 5888599 8551596 11402128 11777198 17103192 17665797 22804256 23554396 34206384 35331594 47108792 68412768 70663188 94217584 111883381 141326376 188435168 223766762 282652752 335650143 447533524 565305504 671300286 895067048 1342600572 1790134096 2685201144 3580268192 5370402288 10740804576