Search a number
-
+
10301655456 = 253235769637
BaseRepresentation
bin10011001100000011…
…01100100110100000
3222120221101022121200
421212001230212200
5132044210433311
64422120121200
7513166424631
oct114601544640
928527338550
1010301655456
11440701a244
121bb6006200
13c82347921
146da247888
154045e7556
hex26606c9a0

10301655456 has 36 divisors (see below), whose sum is σ = 29295333522. Its totient is φ = 3433885056.

The previous prime is 10301655439. The next prime is 10301655503. The reversal of 10301655456 is 65455610301.

10301655456 is a `hidden beast` number, since 10 + 30 + 16 + 554 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10264931856 + 36723600 = 101316^2 + 6060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103016554562 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10301655456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17884531 + ... + 17885106.

Almost surely, 210301655456 is an apocalyptic number.

10301655456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10301655456 is an abundant number, since it is smaller than the sum of its proper divisors (18993678066).

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

10301655456 is a wasteful number, since it uses less digits than its factorization.

10301655456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35769653 (or 35769642 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10301655456 in words is "ten billion, three hundred one million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35769637 71539274 107308911 143078548 214617822 286157096 321926733 429235644 572314192 643853466 858471288 1144628384 1287706932 1716942576 2575413864 3433885152 5150827728 10301655456