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10070458368 = 21631723131
BaseRepresentation
bin10010110000011111…
…10000000000000000
3221222211100021211120
421120033300000000
5131111014131433
64343140512240
7504361324635
oct113017600000
927884307746
1010070458368
1142a8569473
121b506ab680
13c46489809
146b766418c
153de1797b3
hex2583f0000

10070458368 has 272 divisors, whose sum is σ = 29896770816. Its totient is φ = 2998927360.

The previous prime is 10070458367. The next prime is 10070458393. The reversal of 10070458368 is 86385407001.

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070458367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76873663 + ... + 76873793.

Almost surely, 210070458368 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 10070458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948385408).

10070458368 is an abundant number, since it is smaller than the sum of its proper divisors (19826312448).

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

10070458368 is an equidigital number, since it uses as much as digits as its factorization.

10070458368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10070458368 in words is "ten billion, seventy million, four hundred fifty-eight thousand, three hundred sixty-eight".