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2196140768 = 252910123431
BaseRepresentation
bin1000001011100110…
…0111001011100000
312200001102111202222
42002321213023200
513444203001033
61001530530212
7105264613523
oct20271471340
95601374688
102196140768
11a27734078
12513596968
1328ccacba3
1416b954bba
15ccc08598
hex82e672e0

2196140768 has 48 divisors (see below), whose sum is σ = 4517220960. Its totient is φ = 1049664000.

The previous prime is 2196140761. The next prime is 2196140777. The reversal of 2196140768 is 8670416912.

It is a Cunningham number, because it is equal to 468632-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196140761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82013 + ... + 105443.

It is an arithmetic number, because the mean of its divisors is an integer number (94108770).

Almost surely, 22196140768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258610480).

2196140768 is an abundant number, since it is smaller than the sum of its proper divisors (2321080192).

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

2196140768 is a wasteful number, since it uses less digits than its factorization.

2196140768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23571 (or 23563 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 2196140768 is about 46862.9999893306. Note that the first 4 decimals coincide. The cubic root of 2196140768 is about 1299.8305041346.

The spelling of 2196140768 in words is "two billion, one hundred ninety-six million, one hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 101 116 202 232 404 464 808 928 1616 2929 3232 5858 11716 23431 23432 46862 46864 93724 93728 187448 374896 679499 749792 1358998 2366531 2717996 4733062 5435992 9466124 10871984 18932248 21743968 37864496 68629399 75728992 137258798 274517596 549035192 1098070384 2196140768