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5324153268 = 22372919111443
BaseRepresentation
bin1001111010101100…
…00010000110110100
3111202001100000020210
410331112002012310
541400440401033
62240151025420
7245636361510
oct47526020664
914661300223
105324153268
112292389175
12104706b270
1366b065365
14387161140
15212636d63
hex13d5821b4

5324153268 has 96 divisors (see below), whose sum is σ = 14765506560. Its totient is φ = 1460914560.

The previous prime is 5324153257. The next prime is 5324153269. The reversal of 5324153268 is 8623514235.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5324153269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459555 + ... + 470997.

It is an arithmetic number, because the mean of its divisors is an integer number (153807360).

Almost surely, 25324153268 is an apocalyptic number.

5324153268 is a gapful number since it is divisible by the number (58) 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 5324153268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382753280).

5324153268 is an abundant number, since it is smaller than the sum of its proper divisors (9441353292).

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

5324153268 is a wasteful number, since it uses less digits than its factorization.

5324153268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11675 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 5324153268 is about 72966.7956539137. The cubic root of 5324153268 is about 1746.1579130500.

The spelling of 5324153268 in words is "five billion, three hundred twenty-four million, one hundred fifty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 191 203 348 382 406 573 609 764 812 1146 1218 1337 2292 2436 2674 4011 5348 5539 8022 11078 11443 16044 16617 22156 22886 33234 34329 38773 45772 66468 68658 77546 80101 116319 137316 155092 160202 232638 240303 320404 331847 465276 480606 663694 961212 995541 1327388 1991082 2185613 2322929 3982164 4371226 4645858 6556839 6968787 8742452 9291716 13113678 13937574 15299291 26227356 27875148 30598582 45897873 61197164 63382777 91795746 126765554 183591492 190148331 253531108 380296662 443679439 760593324 887358878 1331038317 1774717756 2662076634 5324153268