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3640604968 = 23711133831187
BaseRepresentation
bin1101100011111111…
…0011100100101000
3100101201102220011001
43120333303210220
524423443324333
61401130444344
7156134426440
oct33077634450
910351386131
103640604968
1115a9032440
128572936b4
13460329130
1426771d120
15164932b7d
hexd8ff3928

3640604968 has 128 divisors (see below), whose sum is σ = 9196830720. Its totient is φ = 1304789760.

The previous prime is 3640604923. The next prime is 3640604977. The reversal of 3640604968 is 8694060463.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066471 + ... + 3067657.

It is an arithmetic number, because the mean of its divisors is an integer number (71850240).

Almost surely, 23640604968 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 3640604968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598415360).

3640604968 is an abundant number, since it is smaller than the sum of its proper divisors (5556225752).

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

3640604968 is a wasteful number, since it uses less digits than its factorization.

3640604968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 3640604968 is about 60337.4259311748. The cubic root of 3640604968 is about 1538.3595518737.

The spelling of 3640604968 in words is "three billion, six hundred forty million, six hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 383 572 616 728 766 1001 1144 1187 1532 2002 2374 2681 3064 4004 4213 4748 4979 5362 8008 8309 8426 9496 9958 10724 13057 15431 16618 16852 19916 21448 26114 29491 30862 33236 33704 34853 39832 52228 54769 58982 61724 66472 69706 91399 104456 108017 109538 117964 123448 139412 169741 182798 216034 219076 235928 278824 339482 365596 383383 432068 438152 454621 678964 731192 766766 864136 909242 1188187 1357928 1533532 1818484 2376374 3067064 3182347 3636968 4752748 5000831 5910073 6364694 9505496 10001662 11820146 12729388 20003324 23640292 25458776 35005817 40006648 41370511 47280584 65010803 70011634 82741022 130021606 140023268 165482044 260043212 280046536 330964088 455075621 520086424 910151242 1820302484 3640604968