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45217679076 = 223243113258499
BaseRepresentation
bin101010000111001011…
…110000011011100100
311022201022001002121200
4222013023300123210
51220101211212301
632434523442500
73160351634103
oct520713603344
9138638032550
1045217679076
11181a4223609
12891b386430
13435804832b
14228d53403a
151299adac86
hexa872f06e4

45217679076 has 72 divisors (see below), whose sum is σ = 117993876000. Its totient is φ = 14591695104.

The previous prime is 45217679051. The next prime is 45217679263. The reversal of 45217679076 is 67097671254.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 45675 + ... + 304173.

Almost surely, 245217679076 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 45217679076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58996938000).

45217679076 is an abundant number, since it is smaller than the sum of its proper divisors (72776196924).

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

45217679076 is a wasteful number, since it uses less digits than its factorization.

45217679076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258665 (or 258660 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 45217679076 in words is "forty-five billion, two hundred seventeen million, six hundred seventy-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 113 129 172 226 258 339 387 452 516 678 774 1017 1356 1548 2034 4068 4859 9718 14577 19436 29154 43731 58308 87462 174924 258499 516998 775497 1033996 1550994 2326491 3101988 4652982 9305964 11115457 22230914 29210387 33346371 44461828 58420774 66692742 87631161 100039113 116841548 133385484 175262322 200078226 262893483 350524644 400156452 525786966 1051573932 1256046641 2512093282 3768139923 5024186564 7536279846 11304419769 15072559692 22608839538 45217679076