Search a number
-
+
45192409542 = 235713284071
BaseRepresentation
bin101010000101101011…
…010111000111000110
311022122112111021100000
4222011223113013012
51220023224101132
632432222102130
73156624100020
oct520553270706
9138575437300
1045192409542
1118190a341a5
128912a1a946
134352a3b547
14228a037010
15129779887c
hexa85ad71c6

45192409542 has 48 divisors (see below), whose sum is σ = 116049652992. Its totient is φ = 12912116040.

The previous prime is 45192409529. The next prime is 45192409571. The reversal of 45192409542 is 24590429154.

45192409542 is a `hidden beast` number, since 4 + 5 + 192 + 409 + 54 + 2 = 666.

45192409542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6638634 + ... + 6645437.

It is an arithmetic number, because the mean of its divisors is an integer number (2417701104).

Almost surely, 245192409542 is an apocalyptic number.

45192409542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

45192409542 is an abundant number, since it is smaller than the sum of its proper divisors (70857243450).

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

45192409542 is a wasteful number, since it uses less digits than its factorization.

45192409542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284095 (or 13284083 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45192409542 in words is "forty-five billion, one hundred ninety-two million, four hundred nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 13284071 26568142 39852213 79704426 92988497 119556639 185976994 239113278 278965491 358669917 557930982 717339834 836896473 1076009751 1673792946 2152019502 2510689419 3228029253 5021378838 6456058506 7532068257 15064136514 22596204771 45192409542