Search a number
-
+
45842197914 = 23337163140761
BaseRepresentation
bin101010101100011010…
…000110110110011010
311101022211011221102000
4222230122012312122
51222341100313124
633020513221430
73212004152532
oct525432066632
9141284157360
1045842197914
11184947a8887
128a74561876
13442754a0c6
14230c4604c2
1512d484d6c9
hexaac686d9a

45842197914 has 64 divisors (see below), whose sum is σ = 105267454080. Its totient is φ = 14776421760.

The previous prime is 45842197913. The next prime is 45842197931. The reversal of 45842197914 is 41979124854.

45842197914 is a `hidden beast` number, since 45 + 8 + 421 + 97 + 91 + 4 = 666.

45842197914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45842197913) 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, 255294 + ... + 396054.

It is an arithmetic number, because the mean of its divisors is an integer number (1644803970).

Almost surely, 245842197914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45842197914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52633727040).

45842197914 is an abundant number, since it is smaller than the sum of its proper divisors (59425256166).

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

45842197914 is a wasteful number, since it uses less digits than its factorization.

45842197914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140972 (or 140966 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 45842197914 in words is "forty-five billion, eight hundred forty-two million, one hundred ninety-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 163 222 326 333 489 666 978 999 1467 1998 2934 4401 6031 8802 12062 18093 36186 54279 108558 140761 162837 281522 325674 422283 844566 1266849 2533698 3800547 5208157 7601094 10416314 15624471 22944043 31248942 45888086 46873413 68832129 93746826 137664258 140620239 206496387 281240478 412992774 619489161 848929591 1238978322 1697859182 2546788773 5093577546 7640366319 15280732638 22921098957 45842197914