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45860742954 = 232131717236691
BaseRepresentation
bin101010101101100000…
…110110011100101010
311101101010002010102100
4222231200312130222
51222410322233304
633022414514230
73212320611645
oct525540663452
9141333063370
1045860742954
11184a4214a64
128a7a805976
13442b3411c0
142310acaa5c
1512d62b3439
hexaad83672a

45860742954 has 96 divisors (see below), whose sum is σ = 113385714624. Its totient is φ = 13271247360.

The previous prime is 45860742953. The next prime is 45860742997. The reversal of 45860742954 is 45924706854.

45860742954 is a `hidden beast` number, since 4 + 5 + 8 + 607 + 4 + 29 + 5 + 4 = 666.

45860742954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458607429542 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45860742954.

It is not an unprimeable number, because it can be changed into a prime (45860742953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6850749 + ... + 6857439.

It is an arithmetic number, because the mean of its divisors is an integer number (1181101194).

Almost surely, 245860742954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45860742954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692857312).

45860742954 is an abundant number, since it is smaller than the sum of its proper divisors (67524971670).

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

45860742954 is a wasteful number, since it uses less digits than its factorization.

45860742954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45860742954 in words is "forty-five billion, eight hundred sixty million, seven hundred forty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1723 1989 3446 3978 5169 6691 10338 13382 15507 20073 22399 29291 31014 40146 44798 58582 60219 67197 86983 87873 113747 120438 134394 173966 175746 201591 227494 260949 263619 341241 380783 403182 521898 527238 682482 761566 782847 1023723 1142349 1478711 1565694 2047446 2284698 2957422 3427047 4436133 6854094 8872266 11528593 13308399 23057186 26616798 34585779 69171558 103757337 149871709 195986081 207514674 299743418 391972162 449615127 587958243 899230254 1175916486 1348845381 1763874729 2547819053 2697690762 3527749458 5095638106 7643457159 15286914318 22930371477 45860742954