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716067144 = 2332133592131
BaseRepresentation
bin101010101011100…
…101000101001000
31211220101222110100
4222223211011020
52431303122034
6155015445400
723513320212
oct5253450510
91756358410
10716067144
11338223931
1217b986860
13b5476690
146b15b5b2
1542ce8099
hex2aae5148

716067144 has 96 divisors (see below), whose sum is σ = 2095329600. Its totient is φ = 219611520.

The previous prime is 716067127. The next prime is 716067161. The reversal of 716067144 is 441760617.

716067144 is a `hidden beast` number, since 7 + 1 + 606 + 7 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (716067127) and next prime (716067161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 716067099 and 716067108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334959 + ... + 337089.

It is an arithmetic number, because the mean of its divisors is an integer number (21826350).

Almost surely, 2716067144 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 716067144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047664800).

716067144 is an abundant number, since it is smaller than the sum of its proper divisors (1379262456).

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

716067144 is a wasteful number, since it uses less digits than its factorization.

716067144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 716067144 is about 26759.4309356533. The cubic root of 716067144 is about 894.6460504424.

The spelling of 716067144 in words is "seven hundred sixteen million, sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 359 468 718 936 1077 1436 2131 2154 2872 3231 4262 4308 4667 6393 6462 8524 8616 9334 12786 12924 14001 17048 18668 19179 25572 25848 27703 28002 37336 38358 42003 51144 55406 56004 76716 83109 84006 110812 112008 153432 166218 168012 221624 249327 332436 336024 498654 664872 765029 997308 1530058 1994616 2295087 3060116 4590174 6120232 6885261 9180348 9945377 13770522 18360696 19890754 27541044 29836131 39781508 55082088 59672262 79563016 89508393 119344524 179016786 238689048 358033572 716067144