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1553901696 = 27321348873
BaseRepresentation
bin101110010011110…
…1010100010000000
311000021221101101200
41130213222202000
511140244323241
6414105301200
753335642434
oct13447524200
94007841350
101553901696
11728156386
12374494800
131b9c15579
1410a5349c4
15916454b6
hex5c9ea880

1553901696 has 48 divisors (see below), whose sum is σ = 4471517310. Its totient is φ = 517966848.

The previous prime is 1553901653. The next prime is 1553901697. The reversal of 1553901696 is 6961093551.

1553901696 is a `hidden beast` number, since 1 + 553 + 9 + 0 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1521000000 + 32901696 = 39000^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15539016962 = 4829220961663352832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1553901697) 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 5 ways as a sum of consecutive naturals, for example, 673285 + ... + 675588.

Almost surely, 21553901696 is an apocalyptic number.

1553901696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1553901696 is an abundant number, since it is smaller than the sum of its proper divisors (2917615614).

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

1553901696 is a wasteful number, since it uses less digits than its factorization.

1553901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348893 (or 1348878 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1553901696 is about 39419.5598148939. The cubic root of 1553901696 is about 1158.2647698331.

The spelling of 1553901696 in words is "one billion, five hundred fifty-three million, nine hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1348873 2697746 4046619 5395492 8093238 10790984 12139857 16186476 21581968 24279714 32372952 43163936 48559428 64745904 86327872 97118856 129491808 172655744 194237712 258983616 388475424 517967232 776950848 1553901696