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10073217024 = 2113713173
BaseRepresentation
bin10010110000110100…
…10001100000000000
3222000000112110000000
421120122101200000
5131112220421044
64343320000000
7504423634443
oct113032214000
928000473000
1010073217024
1142aa083052
121b51600000
13c46c14360
146b7b8165a
153de521d69
hex258691800

10073217024 has 384 divisors, whose sum is σ = 32719377600. Its totient is φ = 3081535488.

The previous prime is 10073217017. The next prime is 10073217101. The reversal of 10073217024 is 42071237001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58226602 + ... + 58226774.

Almost surely, 210073217024 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 10073217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359688800).

10073217024 is an abundant number, since it is smaller than the sum of its proper divisors (22646160576).

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

10073217024 is an frugal number, since it uses more digits than its factorization.

10073217024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10073217024 in words is "ten billion, seventy-three million, two hundred seventeen thousand, twenty-four".