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4885644672 = 273218123431
BaseRepresentation
bin1001000110011010…
…10000010110000000
3110121111012110112200
410203031100112000
540001211112142
62124444153200
7232033203006
oct44315202600
913544173480
104885644672
112087901177
12b44238800
135cb26000c
14344c14a76
151d8db864c
hex123350580

4885644672 has 96 divisors (see below), whose sum is σ = 14137228560. Its totient is φ = 1619481600.

The previous prime is 4885644611. The next prime is 4885644721. The reversal of 4885644672 is 2764465884.

It is a happy number.

4885644672 is a `hidden beast` number, since 4 + 8 + 8 + 564 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48856446722 = 47739047722083975168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196797 + ... + 220227.

Almost surely, 24885644672 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 4885644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068614280).

4885644672 is an abundant number, since it is smaller than the sum of its proper divisors (9251583888).

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

4885644672 is a wasteful number, since it uses less digits than its factorization.

4885644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23617 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4885644672 is about 69897.3867322663. The cubic root of 4885644672 is about 1696.8389554038.

It can be divided in two parts, 48856 and 44672, that added together give a triangular number (93528 = T432).

The spelling of 4885644672 in words is "four billion, eight hundred eighty-five million, six hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 23431 26064 34752 46862 52128 69504 70293 93724 104256 140586 187448 208512 210879 281172 374896 421758 562344 749792 843516 1124688 1499584 1687032 2249376 2999168 3374064 4241011 4498752 6748128 8482022 8997504 12723033 13496256 16964044 25446066 26992512 33928088 38169099 50892132 67856176 76338198 101784264 135712352 152676396 203568528 271424704 305352792 407137056 542849408 610705584 814274112 1221411168 1628548224 2442822336 4885644672