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2690955432 = 2334111753419
BaseRepresentation
bin1010000001100100…
…1011100010101000
320221112111200220000
42200121023202220
521002341033212
61123004303000
7123453513054
oct24031134250
96845450800
102690955432
111160a79710
12631241a60
1333b66aa29
141b755ac64
1510b39a1dc
hexa064b8a8

2690955432 has 320 divisors, whose sum is σ = 8891467200. Its totient is φ = 751196160.

The previous prime is 2690955409. The next prime is 2690955439. The reversal of 2690955432 is 2345590962.

2690955432 is a `hidden beast` number, since 2 + 6 + 90 + 9 + 554 + 3 + 2 = 666.

It is a super-2 number, since 2×26909554322 = 14482482274020613248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2690955439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6422119 + ... + 6422537.

It is an arithmetic number, because the mean of its divisors is an integer number (27785835).

Almost surely, 22690955432 is an apocalyptic number.

2690955432 is a gapful number since it is divisible by the number (22) 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 2690955432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445733600).

2690955432 is an abundant number, since it is smaller than the sum of its proper divisors (6200511768).

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

2690955432 is a wasteful number, since it uses less digits than its factorization.

2690955432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 2690955432 is about 51874.4198232616. The cubic root of 2690955432 is about 1390.9200526765.

The spelling of 2690955432 in words is "two billion, six hundred ninety million, nine hundred fifty-five thousand, four hundred thirty-two".