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2495752668 = 2233173223599
BaseRepresentation
bin1001010011000010…
…0010100111011100
320102221012101001000
42110300202213130
520102403041133
61051352350300
7115563355563
oct22460424734
96387171030
102495752668
111070872a12
125979a5390
1330a0a3136
14199666bda
15e918c413
hex94c229dc

2495752668 has 96 divisors (see below), whose sum is σ = 6547968000. Its totient is φ = 822025152.

The previous prime is 2495752661. The next prime is 2495752703. The reversal of 2495752668 is 8662575942.

2495752668 is a `hidden beast` number, since 2 + 4 + 9 + 57 + 526 + 68 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7257600) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495752661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166233 + ... + 4166831.

It is an arithmetic number, because the mean of its divisors is an integer number (68208000).

Almost surely, 22495752668 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 2495752668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273984000).

2495752668 is an abundant number, since it is smaller than the sum of its proper divisors (4052215332).

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

2495752668 is a wasteful number, since it uses less digits than its factorization.

2495752668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2495752668 is about 49957.5086248304. The cubic root of 2495752668 is about 1356.4397704314.

The spelling of 2495752668 in words is "two billion, four hundred ninety-five million, seven hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 223 346 446 519 599 669 692 892 1038 1198 1338 1557 1797 2007 2076 2396 2676 3114 3594 4014 4671 5391 6021 6228 7188 8028 9342 10782 12042 16173 18684 21564 24084 32346 38579 64692 77158 103627 115737 133577 154316 207254 231474 267154 310881 347211 400731 414508 462948 534308 621762 694422 801462 932643 1041633 1202193 1243524 1388844 1602924 1865286 2083266 2404386 2797929 3606579 3730572 4166532 4808772 5595858 7213158 11191716 14426316 23108821 46217642 69326463 92435284 138652926 207979389 277305852 415958778 623938167 831917556 1247876334 2495752668