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45093226716 = 223317197124673
BaseRepresentation
bin101001111111110001…
…000000100011011100
311022101121212021002000
4221333301000203130
51214322331223331
632414320202300
73154311050166
oct517761004334
9138347767060
1045093226716
111813aa5071a
1288a5769390
134338322995
14227abb9936
15128dc060e6
hexa7fc408dc

45093226716 has 96 divisors (see below), whose sum is σ = 124414678080. Its totient is φ = 14074970112.

The previous prime is 45093226687. The next prime is 45093226751. The reversal of 45093226716 is 61762239054.

45093226716 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 2×450932267162 (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 31 ways as a sum of consecutive naturals, for example, 299356 + ... + 424028.

It is an arithmetic number, because the mean of its divisors is an integer number (1295986230).

Almost surely, 245093226716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45093226716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62207339040).

45093226716 is an abundant number, since it is smaller than the sum of its proper divisors (79321451364).

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

45093226716 is a wasteful number, since it uses less digits than its factorization.

45093226716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124900 (or 124892 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45093226716 in words is "forty-five billion, ninety-three million, two hundred twenty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 197 204 306 394 459 591 612 788 918 1182 1773 1836 2364 3349 3546 5319 6698 7092 10047 10638 13396 20094 21276 30141 40188 60282 90423 120564 124673 180846 249346 361692 374019 498692 748038 1122057 1496076 2119441 2244114 3366171 4238882 4488228 6358323 6732342 8477764 12716646 13464684 19074969 24560581 25433292 38149938 49121162 57224907 73681743 76299876 98242324 114449814 147363486 221045229 228899628 294726972 417529877 442090458 663135687 835059754 884180916 1252589631 1326271374 1670119508 2505179262 2652542748 3757768893 5010358524 7515537786 11273306679 15031075572 22546613358 45093226716