Search a number
-
+
107850602496 = 21137213171621
BaseRepresentation
bin110010001110001100…
…1011001100000000000
3101022101021221021022010
41210130121121200000
53231334223234441
6121313524412520
710535431665300
oct1443431314000
9338337837263
10107850602496
1141814942a3a
1218a9ab47140
13a22a104c70
145311959600
152c13574116
hex191c659800

107850602496 has 576 divisors, whose sum is σ = 381627923040. Its totient is φ = 26754416640.

The previous prime is 107850602491. The next prime is 107850602501. The reversal of 107850602496 is 694206058701.

107850602496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107850602491) and next prime (107850602501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107850602491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66532566 + ... + 66534186.

Almost surely, 2107850602496 is an apocalyptic number.

107850602496 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 107850602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190813961520).

107850602496 is an abundant number, since it is smaller than the sum of its proper divisors (273777320544).

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

107850602496 is a wasteful number, since it uses less digits than its factorization.

107850602496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 107850602496 in words is "one hundred seven billion, eight hundred fifty million, six hundred two thousand, four hundred ninety-six".