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45880463300 = 2252783978121
BaseRepresentation
bin101010101110101100…
…000100111111000100
311101102111012000122112
4222232230010333010
51222430344311200
633024401320152
73212650334450
oct525654047704
9141374160575
1045880463300
1118504364171
128a85336058
134432457249
142313581660
1512d7dab535
hexaaeb04fc4

45880463300 has 72 divisors (see below), whose sum is σ = 113920625280. Its totient is φ = 15711494400.

The previous prime is 45880463297. The next prime is 45880463303. The reversal of 45880463300 is 336408854.

It is a happy number.

45880463300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45880463297) and next prime (45880463303).

It is not an unprimeable number, because it can be changed into a prime (45880463303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548240 + ... + 626360.

Almost surely, 245880463300 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 45880463300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960312640).

45880463300 is an abundant number, since it is smaller than the sum of its proper divisors (68040161980).

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

45880463300 is a wasteful number, since it uses less digits than its factorization.

45880463300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78981 (or 78974 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 45880463300 in words is "forty-five billion, eight hundred eighty million, four hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 839 1678 3356 4195 5873 8390 11746 16780 20975 23492 29365 41950 58730 78121 83900 117460 146825 156242 293650 312484 390605 546847 587300 781210 1093694 1562420 1953025 2187388 2734235 3906050 5468470 7812100 10936940 13671175 27342350 54684700 65543519 131087038 262174076 327717595 458804633 655435190 917609266 1310870380 1638587975 1835218532 2294023165 3277175950 4588046330 6554351900 9176092660 11470115825 22940231650 45880463300