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2664982128 = 243377192087
BaseRepresentation
bin1001111011011000…
…0110011001110000
320212201122010012210
42132312012121300
520424213412003
61120235452120
7123016655124
oct23666063160
96781563183
102664982128
111148349576
126245b7040
13336175803
141b3d19584
15108e69503
hex9ed86670

2664982128 has 80 divisors (see below), whose sum is σ = 7083832320. Its totient is φ = 862702848.

The previous prime is 2664982121. The next prime is 2664982141. The reversal of 2664982128 is 8212894662.

It is a happy number.

2664982128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664982121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1275901 + ... + 1277987.

It is an arithmetic number, because the mean of its divisors is an integer number (88547904).

Almost surely, 22664982128 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 2664982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541916160).

2664982128 is an abundant number, since it is smaller than the sum of its proper divisors (4418850192).

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

2664982128 is a wasteful number, since it uses less digits than its factorization.

2664982128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2848 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 2664982128 is about 51623.4648972732. The cubic root of 2664982128 is about 1386.4304887252.

The spelling of 2664982128 in words is "two billion, six hundred sixty-four million, nine hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 719 888 1438 1776 2087 2157 2876 4174 4314 5752 6261 8348 8628 11504 12522 16696 17256 25044 26603 33392 34512 50088 53206 77219 79809 100176 106412 154438 159618 212824 231657 308876 319236 425648 463314 617752 638472 926628 1235504 1276944 1500553 1853256 3001106 3706512 4501659 6002212 9003318 12004424 18006636 24008848 36013272 55520461 72026544 111040922 166561383 222081844 333122766 444163688 666245532 888327376 1332491064 2664982128