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5015216100 = 2235260727541
BaseRepresentation
bin1001010101110111…
…00001111111100100
3110221112000101010110
410222323201333210
540232343403400
62145353253020
7235165430166
oct45273417744
913845011113
105015216100
112143a600a4
12b7b704170
1361c0586bb
14358102936
151e545ee50
hex12aee1fe4

5015216100 has 72 divisors (see below), whose sum is σ = 14535125248. Its totient is φ = 1335139200.

The previous prime is 5015216099. The next prime is 5015216147. The reversal of 5015216100 is 16125105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168330 + ... + 195870.

Almost surely, 25015216100 is an apocalyptic number.

5015216100 is a gapful number since it is divisible by the number (50) 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 5015216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267562624).

5015216100 is an abundant number, since it is smaller than the sum of its proper divisors (9519909148).

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

5015216100 is a wasteful number, since it uses less digits than its factorization.

5015216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28165 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 5015216100 is about 70818.1904597964. The cubic root of 5015216100 is about 1711.7088010448.

The spelling of 5015216100 in words is "five billion, fifteen million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 607 1214 1821 2428 3035 3642 6070 7284 9105 12140 15175 18210 27541 30350 36420 45525 55082 60700 82623 91050 110164 137705 165246 182100 275410 330492 413115 550820 688525 826230 1377050 1652460 2065575 2754100 4131150 8262300 16717387 33434774 50152161 66869548 83586935 100304322 167173870 200608644 250760805 334347740 417934675 501521610 835869350 1003043220 1253804025 1671738700 2507608050 5015216100