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5002553416 = 2371714935267
BaseRepresentation
bin1001010100010110…
…01110100001001000
3110220122012001012011
410222023032201020
540221123202131
62144222025304
7234653000560
oct45213164110
913818161164
105002553416
1121378a1473
12b77418234
13619543ba3
14356567da0
151e42ad0b1
hex12a2ce848

5002553416 has 64 divisors (see below), whose sum is σ = 11426832000. Its totient is φ = 2004237312.

The previous prime is 5002553411. The next prime is 5002553431. The reversal of 5002553416 is 6143552005.

It is not an unprimeable number, because it can be changed into a prime (5002553411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124215 + ... + 159481.

It is an arithmetic number, because the mean of its divisors is an integer number (178544250).

Almost surely, 25002553416 is an apocalyptic number.

5002553416 is a gapful number since it is divisible by the number (56) 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 5002553416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713416000).

5002553416 is an abundant number, since it is smaller than the sum of its proper divisors (6424278584).

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

5002553416 is a wasteful number, since it uses less digits than its factorization.

5002553416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35446 (or 35442 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5002553416 is about 70728.7311917866. The cubic root of 5002553416 is about 1710.2669824694.

The spelling of 5002553416 in words is "five billion, two million, five hundred fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 149 238 298 476 596 952 1043 1192 2086 2533 4172 5066 8344 10132 17731 20264 35267 35462 70534 70924 141068 141848 246869 282136 493738 599539 987476 1199078 1974952 2398156 4196773 4796312 5254783 8393546 10509566 16787092 21019132 33574184 36783481 42038264 73566962 89331311 147133924 178662622 294267848 357325244 625319177 714650488 1250638354 2501276708 5002553416