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45246664254 = 23112891136197
BaseRepresentation
bin101010001000111010…
…010100111000111110
311022210022120200210210
4222020322110320332
51220131121224004
632441441013250
73161153205021
oct521072247076
9138708520723
1045246664254
1118209620600
128929024226
13436105641c
14229331b1b8
15129c414089
hexa88e94e3e

45246664254 has 96 divisors (see below), whose sum is σ = 101492002080. Its totient is φ = 13434910720.

The previous prime is 45246664241. The next prime is 45246664273.

It is a happy number.

45246664254 is nontrivially palindromic in base 10.

45246664254 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 2×452466642542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7298284 + ... + 7304480.

It is an arithmetic number, because the mean of its divisors is an integer number (1057208355).

Almost surely, 245246664254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45246664254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746001040).

45246664254 is an abundant number, since it is smaller than the sum of its proper divisors (56245337826).

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

45246664254 is a wasteful number, since it uses less digits than its factorization.

45246664254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6415 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 45246664254 in words is "forty-five billion, two hundred forty-six million, six hundred sixty-four thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 89 113 121 178 226 242 267 339 363 534 678 726 979 1243 1958 2486 2937 3729 5874 6197 7458 10057 10769 12394 13673 18591 20114 21538 27346 30171 32307 37182 41019 60342 64614 68167 82038 110627 136334 204501 221254 331881 409002 551533 663762 700261 749837 1103066 1216897 1400522 1499674 1654599 2100783 2249511 2433794 3309198 3650691 4201566 4499022 6066863 7301382 7702871 12133726 15405742 18200589 23108613 36401178 46217226 62323229 66735493 84731581 124646458 133470986 169463162 186969687 200206479 254194743 373939374 400412958 508389486 685555519 1371111038 2056666557 4113333114 7541110709 15082221418 22623332127 45246664254