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2652495144 = 2331383910133
BaseRepresentation
bin1001111000011001…
…1101110100101000
320211212010201021220
42132012131310220
520413014321034
61115112102040
7122505556665
oct23606356450
96755121256
102652495144
11114129a952
12620394920
133336c2c70
141b23c8a6c
15107cee749
hex9e19dd28

2652495144 has 64 divisors (see below), whose sum is σ = 7150550400. Its totient is φ = 815099136.

The previous prime is 2652495107. The next prime is 2652495151. The reversal of 2652495144 is 4415942562.

2652495144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2652495096 and 2652495105.

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, 256702 + ... + 266834.

It is an arithmetic number, because the mean of its divisors is an integer number (111727350).

Almost surely, 22652495144 is an apocalyptic number.

2652495144 is a gapful number since it is divisible by the number (24) 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 2652495144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575275200).

2652495144 is an abundant number, since it is smaller than the sum of its proper divisors (4498055256).

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

2652495144 is a wasteful number, since it uses less digits than its factorization.

2652495144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10990 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2652495144 is about 51502.3799838415. The cubic root of 2652495144 is about 1384.2616880176.

The spelling of 2652495144 in words is "two billion, six hundred fifty-two million, four hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 839 1678 2517 3356 5034 6712 10068 10133 10907 20136 20266 21814 30399 32721 40532 43628 60798 65442 81064 87256 121596 130884 131729 243192 261768 263458 395187 526916 790374 1053832 1580748 3161496 8501587 17003174 25504761 34006348 51009522 68012696 102019044 110520631 204038088 221041262 331561893 442082524 663123786 884165048 1326247572 2652495144