Search a number
-
+
4916685744 = 243416722717
BaseRepresentation
bin1001001010000111…
…01010101110110000
3110200122121111220000
410211003222232300
540032132420434
62131513350000
7232561065525
oct44503525660
913618544800
104916685744
1120a3382853
12b52708300
1360480ab09
14348db514c
151db99ab99
hex1250eabb0

4916685744 has 100 divisors (see below), whose sum is σ = 14316156624. Its totient is φ = 1629009792.

The previous prime is 4916685731. The next prime is 4916685749. The reversal of 4916685744 is 4475866194.

4916685744 is a `hidden beast` number, since 4 + 9 + 1 + 6 + 68 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4916685749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205074 + ... + 227790.

Almost surely, 24916685744 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 4916685744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158078312).

4916685744 is an abundant number, since it is smaller than the sum of its proper divisors (9399470880).

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

4916685744 is a wasteful number, since it uses less digits than its factorization.

4916685744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904 (or 22889 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4916685744 is about 70119.0825952536. The cubic root of 4916685744 is about 1700.4250083852.

The spelling of 4916685744 in words is "four billion, nine hundred sixteen million, six hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 167 216 324 334 432 501 648 668 1002 1296 1336 1503 2004 2672 3006 4008 4509 6012 8016 9018 12024 13527 18036 22717 24048 27054 36072 45434 54108 68151 72144 90868 108216 136302 181736 204453 216432 272604 363472 408906 545208 613359 817812 1090416 1226718 1635624 1840077 2453436 3271248 3680154 3793739 4906872 7360308 7587478 9813744 11381217 14720616 15174956 22762434 29441232 30349912 34143651 45524868 60699824 68287302 91049736 102430953 136574604 182099472 204861906 273149208 307292859 409723812 546298416 614585718 819447624 1229171436 1638895248 2458342872 4916685744