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10315483164 = 2235723292273
BaseRepresentation
bin10011001101101100…
…11100100000011100
3222121220101211200000
421212312130200130
5132111230430124
64423332334300
7513425105640
oct114666344034
928556354600
1010315483164
1144139041a8
121bba774390
13c851797bc
146dc006c20
154059296c9
hex266d9c81c

10315483164 has 288 divisors, whose sum is σ = 33374315520. Its totient is φ = 2720729088.

The previous prime is 10315483127. The next prime is 10315483169. The reversal of 10315483164 is 46138451301.

10315483164 is a `hidden beast` number, since 1 + 0 + 3 + 15 + 483 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315483169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4537132 + ... + 4539404.

It is an arithmetic number, because the mean of its divisors is an integer number (115883040).

Almost surely, 210315483164 is an apocalyptic number.

10315483164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315483164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687157760).

10315483164 is an abundant number, since it is smaller than the sum of its proper divisors (23058832356).

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

10315483164 is a wasteful number, since it uses less digits than its factorization.

10315483164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10315483164 in words is "ten billion, three hundred fifteen million, four hundred eighty-three thousand, one hundred sixty-four".