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4581642096 = 243338327691
BaseRepresentation
bin1000100010001011…
…00100111101110000
3102211022011112102000
410101011210331300
533340400021341
62034344254000
7221352213063
oct42105447560
912738145360
104581642096
111a41243579
12a7a471300
13580290435
143166bc8da
151bc3688b6
hex111164f70

4581642096 has 80 divisors (see below), whose sum is σ = 13185822720. Its totient is φ = 1523171520.

The previous prime is 4581642061. The next prime is 4581642101. The reversal of 4581642096 is 6902461854.

4581642096 is a `hidden beast` number, since 4 + 581 + 64 + 2 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151611 + ... + 179301.

It is an arithmetic number, because the mean of its divisors is an integer number (164822784).

Almost surely, 24581642096 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 4581642096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592911360).

4581642096 is an abundant number, since it is smaller than the sum of its proper divisors (8604180624).

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

4581642096 is a wasteful number, since it uses less digits than its factorization.

4581642096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28091 (or 28079 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4581642096 is about 67687.8282706721. The cubic root of 4581642096 is about 1660.8881510396. Note that the first 3 decimals are identical.

The spelling of 4581642096 in words is "four billion, five hundred eighty-one million, six hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 383 432 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 10341 13788 18384 20682 27576 27691 41364 55152 55382 82728 83073 110764 165456 166146 221528 249219 332292 443056 498438 664584 747657 996876 1329168 1495314 1993752 2990628 3987504 5981256 10605653 11962512 21211306 31816959 42422612 63633918 84845224 95450877 127267836 169690448 190901754 254535672 286352631 381803508 509071344 572705262 763607016 1145410524 1527214032 2290821048 4581642096