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45546306234 = 231141339883
BaseRepresentation
bin101010011010110001…
…010111101010111010
311100120012102002022220
4222122301113222322
51221234323244414
632531303224510
73201452133552
oct523261275272
9140505362286
1045546306234
1118352780000
1289b1448136
1343ab15a280
1422c103a162
1512b88a1ca9
hexa9ac57aba

45546306234 has 80 divisors (see below), whose sum is σ = 107911745760. Its totient is φ = 12739906080.

The previous prime is 45546306233. The next prime is 45546306251. The reversal of 45546306234 is 43260364554.

It is a happy number.

It is a super-2 number, since 2×455463062342 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45546306233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1122057 + ... + 1161939.

It is an arithmetic number, because the mean of its divisors is an integer number (1348896822).

Almost surely, 245546306234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45546306234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53955872880).

45546306234 is an abundant number, since it is smaller than the sum of its proper divisors (62365439526).

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

45546306234 is a wasteful number, since it uses less digits than its factorization.

45546306234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39945 (or 39912 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 45546306234 in words is "forty-five billion, five hundred forty-six million, three hundred six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1331 1573 2662 3146 3993 4719 7986 9438 14641 17303 29282 34606 39883 43923 51909 79766 87846 103818 119649 190333 239298 380666 438713 518479 570999 877426 1036958 1141998 1316139 1555437 2632278 3110874 4825843 5703269 9651686 11406538 14477529 17109807 28955058 34219614 53084273 62735959 106168546 125471918 159252819 188207877 318505638 376415754 583927003 690095549 1167854006 1380191098 1751781009 2070286647 3503562018 4140573294 7591051039 15182102078 22773153117 45546306234