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45442521630 = 232511223397457
BaseRepresentation
bin101010010100100101…
…011101101000011110
311100021222010021121200
4222110211131220132
51221031241143010
632513114540330
73166052026542
oct522445355036
9140258107550
1045442521630
11182aa134100
1289827376a6
1343927bcc6c
1422b1341a22
1512ae700cc0
hexa9495da1e

45442521630 has 288 divisors, whose sum is σ = 136153023552. Its totient is φ = 10487854080.

The previous prime is 45442521623. The next prime is 45442521643. The reversal of 45442521630 is 3612524454.

45442521630 is a `hidden beast` number, since 4 + 5 + 442 + 52 + 163 + 0 = 666.

45442521630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99436362 + ... + 99436818.

It is an arithmetic number, because the mean of its divisors is an integer number (472753554).

Almost surely, 245442521630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45442521630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68076511776).

45442521630 is an abundant number, since it is smaller than the sum of its proper divisors (90710501922).

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

45442521630 is a wasteful number, since it uses less digits than its factorization.

45442521630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45442521630 in words is "forty-five billion, four hundred forty-two million, five hundred twenty-one thousand, six hundred thirty".