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4683644640 = 253351084177
BaseRepresentation
bin1000101110010101…
…01011111011100000
3110002102002210121000
410113022223323200
534043003112030
62052430432000
7224031215433
oct42712537340
913072083530
104683644640
111a938825a4
12aa8662600
1359845557c
1432607181a
151c62b6860
hex1172abee0

4683644640 has 96 divisors (see below), whose sum is σ = 16392771360. Its totient is φ = 1248970752.

The previous prime is 4683644633. The next prime is 4683644657. The reversal of 4683644640 is 464463864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46836446402 = 43873054227601459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 537769 + ... + 546408.

It is an arithmetic number, because the mean of its divisors is an integer number (170758035).

Almost surely, 24683644640 is an apocalyptic number.

4683644640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4683644640 is an abundant number, since it is smaller than the sum of its proper divisors (11709126720).

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

4683644640 is a wasteful number, since it uses less digits than its factorization.

4683644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084201 (or 1084187 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 4683644640 is about 68437.1583279142. The cubic root of 4683644640 is about 1673.1234217974.

The spelling of 4683644640 in words is "four billion, six hundred eighty-three million, six hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1084177 2168354 3252531 4336708 5420885 6505062 8673416 9757593 10841770 13010124 16262655 17346832 19515186 21683540 26020248 29272779 32525310 34693664 39030372 43367080 48787965 52040496 58545558 65050620 78060744 86734160 97575930 104080992 117091116 130101240 146363895 156121488 173468320 195151860 234182232 260202480 292727790 312242976 390303720 468364464 520404960 585455580 780607440 936728928 1170911160 1561214880 2341822320 4683644640