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4801334148 = 22321318156681
BaseRepresentation
bin1000111100010111…
…01000101110000100
3110101121120001020200
410132023220232010
534313120143043
62112233130500
7226660444512
oct43613505604
913347501220
104801334148
112044256456
12b1bb59a30
135b6950930
143379494b2
151d17b27d3
hex11e2e8b84

4801334148 has 72 divisors (see below), whose sum is σ = 13142741976. Its totient is φ = 1469145600.

The previous prime is 4801334141. The next prime is 4801334159. The reversal of 4801334148 is 8414331084.

4801334148 is a `hidden beast` number, since 480 + 1 + 3 + 34 + 148 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96471684 + 4704862464 = 9822^2 + 68592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4801334141) 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, 56368 + ... + 113048.

It is an arithmetic number, because the mean of its divisors is an integer number (182538083).

Almost surely, 24801334148 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 4801334148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571370988).

4801334148 is an abundant number, since it is smaller than the sum of its proper divisors (8341407828).

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

4801334148 is a wasteful number, since it uses less digits than its factorization.

4801334148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56885 (or 56880 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4801334148 is about 69291.6600176385. The cubic root of 4801334148 is about 1687.0216027931.

The spelling of 4801334148 in words is "four billion, eight hundred one million, three hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1086 1629 2172 2353 3258 4706 6516 7059 9412 14118 21177 28236 42354 56681 84708 113362 170043 226724 340086 510129 680172 736853 1020258 1473706 2040516 2210559 2947412 4421118 6631677 8842236 10259261 13263354 20518522 26526708 30777783 41037044 61555566 92333349 123111132 133370393 184666698 266740786 369333396 400111179 533481572 800222358 1200333537 1600444716 2400667074 4801334148