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10216292553 = 3228114892713
BaseRepresentation
bin10011000001111000…
…00100000011001001
3222100222202102201200
421200330010003021
5131410332330203
64405430334413
7511112024325
oct114074040311
928328672650
1010216292553
114372915895
121b914ba409
13c6a75a52c
146ccb86985
153ebd849a3
hex260f040c9

10216292553 has 24 divisors (see below), whose sum is σ = 14824790760. Its totient is φ = 6779566080.

The previous prime is 10216292551. The next prime is 10216292563. The reversal of 10216292553 is 35529261201.

It is a happy number.

10216292553 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 629 + 25 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3894134409 + 6322158144 = 62403^2 + 79512^2 .

It is not a de Polignac number, because 10216292553 - 21 = 10216292551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10216292551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3764325 + ... + 3767037.

It is an arithmetic number, because the mean of its divisors is an integer number (617699615).

Almost surely, 210216292553 is an apocalyptic number.

It is an amenable number.

10216292553 is a deficient number, since it is larger than the sum of its proper divisors (4608498207).

10216292553 is a wasteful number, since it uses less digits than its factorization.

10216292553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10216292553 in words is "ten billion, two hundred sixteen million, two hundred ninety-two thousand, five hundred fifty-three".

Divisors: 1 3 9 281 843 1489 2529 2713 4467 8139 13401 24417 418409 762353 1255227 2287059 3765681 4039657 6861177 12118971 36356913 1135143617 3405430851 10216292553