Search a number
-
+
7698223900640 = 2557137989139541
BaseRepresentation
bin111000000000110000111…
…1001101010011111100000
31000020221110110102011211102
41300001201321222133200
52002111430304310030
624212303142533532
71423115110332410
oct160014171523740
930227413364742
107698223900640
1124a8886777229
12a43b737372a8
1343ac29b231b0
141c884b6c6640
15d53ad8bec45
hex70061e6a7e0

7698223900640 has 768 divisors, whose sum is σ = 23129680896000. Its totient is φ = 2357016330240.

The previous prime is 7698223900613. The next prime is 7698223900681. The reversal of 7698223900640 is 460093228967.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14229618770 + ... + 14229619310.

It is an arithmetic number, because the mean of its divisors is an integer number (30116772000).

Almost surely, 27698223900640 is an apocalyptic number.

7698223900640 is a gapful number since it is divisible by the number (70) 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 7698223900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564840448000).

7698223900640 is an abundant number, since it is smaller than the sum of its proper divisors (15431456995360).

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

7698223900640 is a wasteful number, since it uses less digits than its factorization.

7698223900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 7698223900640 in words is "seven trillion, six hundred ninety-eight billion, two hundred twenty-three million, nine hundred thousand, six hundred forty".