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10770337000 = 2353101106637
BaseRepresentation
bin10100000011111011…
…00100110011101000
31000210121021210211101
422001331210303220
5134024201241000
64540421411144
7530620232263
oct120175446350
930717253741
1010770337000
114627635665
122106b69ab4
131028485897
147425a9cda
15430825e6a
hex281f64ce8

10770337000 has 64 divisors (see below), whose sum is σ = 25452357840. Its totient is φ = 4265440000.

The previous prime is 10770336971. The next prime is 10770337013. The reversal of 10770337000 is 73307701.

It can be written as a sum of positive squares in 8 ways, for example, as 5621700484 + 5148636516 = 74978^2 + 71754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10770337000.

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, 47682 + ... + 154318.

Almost surely, 210770337000 is an apocalyptic number.

10770337000 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 10770337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726178920).

10770337000 is an abundant number, since it is smaller than the sum of its proper divisors (14682020840).

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

10770337000 is a wasteful number, since it uses less digits than its factorization.

10770337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106759 (or 106745 counting only the distinct ones).

The product of its (nonzero) digits is 3087, while the sum is 28.

The spelling of 10770337000 in words is "ten billion, seven hundred seventy million, three hundred thirty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 106637 213274 426548 533185 853096 1066370 2132740 2665925 4265480 5331850 10663700 10770337 13329625 21327400 21540674 26659250 43081348 53318500 53851685 86162696 106637000 107703370 215406740 269258425 430813480 538516850 1077033700 1346292125 2154067400 2692584250 5385168500 10770337000