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10042244520 = 23357119111193
BaseRepresentation
bin10010101101001000…
…00111110110101000
3221220212020212201020
421112210013312220
5131031303311040
64340252052440
7503566445550
oct112644076650
927825225636
1010042244520
114293648a40
121b43164120
13c4068b829
146b39dc160
153db954cd0
hex256907da8

10042244520 has 256 divisors, whose sum is σ = 37633351680. Its totient is φ = 2082662400.

The previous prime is 10042244507. The next prime is 10042244551. The reversal of 10042244520 is 2544224001.

It is a happy number.

It is a Cunningham number, because it is equal to 1002112-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8417044 + ... + 8418236.

It is an arithmetic number, because the mean of its divisors is an integer number (147005280).

Almost surely, 210042244520 is an apocalyptic number.

10042244520 is a gapful number since it is divisible by the number (10) 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 10042244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816675840).

10042244520 is an abundant number, since it is smaller than the sum of its proper divisors (27591107160).

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

10042244520 is a wasteful number, since it uses less digits than its factorization.

10042244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 10042244520 its reverse (2544224001), we get a palindrome (12586468521).

The spelling of 10042244520 in words is "ten billion, forty-two million, two hundred forty-four thousand, five hundred twenty".