Search a number
-
+
4116714732 = 2233137613853
BaseRepresentation
bin1111010101100000…
…0001010011101100
3101121220022202222000
43311120001103230
531412334332412
61520255252300
7204005332524
oct36530012354
911556282860
104116714732
111822861789
1296a81a090
13507b681a0
142b0a56684
1519162c4dc
hexf56014ec

4116714732 has 96 divisors (see below), whose sum is σ = 11512052160. Its totient is φ = 1264688640.

The previous prime is 4116714709. The next prime is 4116714733. The reversal of 4116714732 is 2374176114.

4116714732 is a `hidden beast` number, since 4 + 116 + 71 + 473 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4116714733) 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, 1066518 + ... + 1070370.

It is an arithmetic number, because the mean of its divisors is an integer number (119917210).

Almost surely, 24116714732 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 4116714732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756026080).

4116714732 is an abundant number, since it is smaller than the sum of its proper divisors (7395337428).

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

4116714732 is a wasteful number, since it uses less digits than its factorization.

4116714732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4632 counting only the distinct ones).

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

The square root of 4116714732 is about 64161.6297486278. The cubic root of 4116714732 is about 1602.6926965528.

The spelling of 4116714732 in words is "four billion, one hundred sixteen million, seven hundred fourteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 761 1404 1522 2283 3044 3853 4566 6849 7706 9132 9893 11559 13698 15412 19786 20547 23118 27396 29679 34677 39572 41094 46236 50089 59358 69354 82188 89037 100178 104031 118716 138708 150267 178074 200356 208062 267111 300534 356148 416124 450801 534222 601068 901602 1068444 1352403 1803204 2704806 2932133 5409612 5864266 8796399 11728532 17592798 26389197 35185596 38117729 52778394 76235458 79167591 105556788 114353187 152470916 158335182 228706374 316670364 343059561 457412748 686119122 1029178683 1372238244 2058357366 4116714732