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9928147152 = 24372111722573
BaseRepresentation
bin10010011111100001…
…11000000011010000
3221121220120010112210
421033300320003100
5130313101202102
64321054352120
7501012600300
oct111760700320
927556503483
109928147152
1142351a89a0
121b10abb640
13c22b504b1
146a27bb600
153d191836c
hex24fc380d0

9928147152 has 240 divisors, whose sum is σ = 34463454912. Its totient is φ = 2426941440.

The previous prime is 9928147147. The next prime is 9928147157. The reversal of 9928147152 is 2517418299.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9928147147) and next prime (9928147157).

It is a super-2 number, since 2×99281471522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928147157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428538 + ... + 451110.

Almost surely, 29928147152 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 9928147152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231727456).

9928147152 is an abundant number, since it is smaller than the sum of its proper divisors (24535307760).

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

9928147152 is a wasteful number, since it uses less digits than its factorization.

9928147152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22626 (or 22613 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 9928147152 is about 99640.0880770386. The cubic root of 9928147152 is about 2149.2622059786.

It can be divided in two parts, 9928147 and 152, that added together give a palindrome (9928299).

The spelling of 9928147152 in words is "nine billion, nine hundred twenty-eight million, one hundred forty-seven thousand, one hundred fifty-two".