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4496899680 = 253557133141
BaseRepresentation
bin1000011000000100…
…10011111001100000
3102121101201011200000
410030002103321200
533202201242210
62022120100000
7216303005460
oct41402237140
912541634600
104496899680
1119a8423319
12a56004600
1356885c5b0
1430933dba0
151b4bc9ac0
hex10c093e60

4496899680 has 1152 divisors, whose sum is σ = 20711448576. Its totient is φ = 895795200.

The previous prime is 4496899679. The next prime is 4496899691. The reversal of 4496899680 is 869986944.

4496899680 is a `hidden beast` number, since 4 + 496 + 89 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109680460 + ... + 109680500.

It is an arithmetic number, because the mean of its divisors is an integer number (17978688).

Almost surely, 24496899680 is an apocalyptic number.

4496899680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4496899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355724288).

4496899680 is an abundant number, since it is smaller than the sum of its proper divisors (16214548896).

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

4496899680 is a wasteful number, since it uses less digits than its factorization.

4496899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 4496899680 is about 67058.9269225209. The cubic root of 4496899680 is about 1650.5843880415.

The spelling of 4496899680 in words is "four billion, four hundred ninety-six million, eight hundred ninety-nine thousand, six hundred eighty".