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40325002564 = 22721121989491
BaseRepresentation
bin100101100011100011…
…101011010101000100
310212002022121101012111
4211203203223111010
51130041200040224
630305224430404
72625201603100
oct454343532504
9125068541174
1040325002564
111611345a300
127994918404
133a584c5782
141d4780c900
1510b02d3d94
hex9638eb544

40325002564 has 108 divisors (see below), whose sum is σ = 94981439280. Its totient is φ = 14883976800.

The previous prime is 40325002513. The next prime is 40325002573. The reversal of 40325002564 is 46520052304.

It is a super-2 number, since 2×403250025642 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405859 + ... + 495349.

Almost surely, 240325002564 is an apocalyptic number.

40325002564 is a gapful number since it is divisible by the number (44) 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 40325002564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47490719640).

40325002564 is an abundant number, since it is smaller than the sum of its proper divisors (54656436716).

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

40325002564 is a wasteful number, since it uses less digits than its factorization.

40325002564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89550 (or 89530 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 40325002564 its reverse (46520052304), we get a palindrome (86845054868).

The spelling of 40325002564 in words is "forty billion, three hundred twenty-five million, two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 121 133 154 196 209 242 266 308 418 484 532 539 836 847 931 1078 1463 1694 1862 2156 2299 2926 3388 3724 4598 5852 5929 9196 10241 11858 16093 20482 23716 32186 40964 64372 89491 112651 178982 225302 357964 450604 626437 984401 1252874 1700329 1968802 2505748 3400658 3937604 4385059 6801316 6890807 8770118 10828411 11902303 13781614 17540236 18703619 21656822 23804606 27563228 37407238 43313644 47609212 48235649 74814476 75798877 83316121 96471298 130925333 151597754 166632242 192942596 205739809 261850666 303195508 333264484 411479618 523701332 530592139 822959236 916477331 1061184278 1440178663 1832954662 2122368556 2880357326 3665909324 5760714652 10081250641 20162501282 40325002564