Search a number
-
+
4902693696 = 263312132339
BaseRepresentation
bin1001001000011100…
…10010101101000000
3110122200021122102000
410210032102231000
540020042144241
62130253424000
7232331131425
oct44416225500
913580248360
104902693696
11209649637a
12b49a9b000
1360194c1b4
143471b1d4c
151da634eb6
hex124392b40

4902693696 has 112 divisors (see below), whose sum is σ = 14431060800. Its totient is φ = 1632185856.

The previous prime is 4902693689. The next prime is 4902693727. The reversal of 4902693696 is 6963962094.

4902693696 is a `hidden beast` number, since 490 + 2 + 6 + 93 + 69 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094895 + ... + 2097233.

Almost surely, 24902693696 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 4902693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215530400).

4902693696 is an abundant number, since it is smaller than the sum of its proper divisors (9528367104).

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

4902693696 is a wasteful number, since it uses less digits than its factorization.

4902693696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 4902693696 is about 70019.2380421267. The cubic root of 4902693696 is about 1698.8104360860.

The spelling of 4902693696 in words is "four billion, nine hundred two million, six hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1213 1728 2339 2426 3639 4678 4852 7017 7278 9356 9704 10917 14034 14556 18712 19408 21051 21834 28068 29112 32751 37424 38816 42102 43668 56136 58224 63153 65502 74848 77632 84204 87336 112272 116448 126306 131004 149696 168408 174672 224544 232896 252612 262008 336816 349344 449088 505224 524016 673632 698688 1010448 1048032 1347264 2020896 2096064 2837207 4041792 5674414 8511621 11348828 17023242 22697656 25534863 34046484 45395312 51069726 68092968 76604589 90790624 102139452 136185936 153209178 181581248 204278904 272371872 306418356 408557808 544743744 612836712 817115616 1225673424 1634231232 2451346848 4902693696