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45995098806 = 23719229129
BaseRepresentation
bin101010110101100001…
…011000001010110110
311101201110220010000000
4222311201120022312
51223144221130211
633044014332130
73215541613656
oct526541301266
9141643803000
1045995098806
1118563041558
128ab77ba046
1344501234c7
1423248a2366
1512e2ea2656
hexab58582b6

45995098806 has 96 divisors (see below), whose sum is σ = 109209535200. Its totient is φ = 14524269408.

The previous prime is 45995098729. The next prime is 45995098817. The reversal of 45995098806 is 60889059954.

45995098806 is a `hidden beast` number, since 45 + 9 + 9 + 509 + 8 + 80 + 6 = 666.

It is a super-2 number, since 2×459950988062 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1564450 + ... + 1593578.

It is an arithmetic number, because the mean of its divisors is an integer number (1137599325).

Almost surely, 245995098806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45995098806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604767600).

45995098806 is an abundant number, since it is smaller than the sum of its proper divisors (63214436394).

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

45995098806 is an equidigital number, since it uses as much as digits as its factorization.

45995098806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29190 (or 29153 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 45995098806 in words is "forty-five billion, nine hundred ninety-five million, ninety-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 729 1026 1083 1458 1539 2166 2187 3078 3249 4374 4617 6498 9234 9747 13851 19494 27702 29129 29241 41553 58258 58482 83106 87387 87723 174774 175446 262161 263169 524322 526338 553451 786483 789507 1106902 1572966 1579014 1660353 2359449 3320706 4718898 4981059 7078347 9962118 10515569 14156694 14943177 21031138 21235041 29886354 31546707 42470082 44829531 63093414 63705123 89659062 94640121 127410246 134488593 189280242 268977186 283920363 403465779 567840726 806931558 851761089 1210397337 1703522178 2420794674 2555283267 5110566534 7665849801 15331699602 22997549403 45995098806