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4666951008 = 253217990529
BaseRepresentation
bin1000101100010110…
…00000010101100000
3110001020200200020100
410112023000111200
534024214413013
62051032542400
7223436300106
oct42613002540
913036620210
104666951008
111a85410405
12aa2b51a00
13594b5c095
14323b67c76
151c4aba473
hex1162c0560

4666951008 has 72 divisors (see below), whose sum is σ = 13345932600. Its totient is φ = 1546942464.

The previous prime is 4666950997. The next prime is 4666951013. The reversal of 4666951008 is 8001596664.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×46669510082 = 43560863422144432128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6288 + ... + 96816.

It is an arithmetic number, because the mean of its divisors is an integer number (185360175).

Almost surely, 24666951008 is an apocalyptic number.

4666951008 is a gapful number since it is divisible by the number (48) 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 4666951008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672966300).

4666951008 is an abundant number, since it is smaller than the sum of its proper divisors (8678981592).

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

4666951008 is a wasteful number, since it uses less digits than its factorization.

4666951008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90724 (or 90713 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4666951008 is about 68315.0862401564. The cubic root of 4666951008 is about 1671.1332511517.

The spelling of 4666951008 in words is "four billion, six hundred sixty-six million, nine hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 90529 181058 271587 362116 543174 724232 814761 1086348 1448464 1629522 2172696 2896928 3259044 4345392 6518088 8690784 13036176 16204691 26072352 32409382 48614073 64818764 97228146 129637528 145842219 194456292 259275056 291684438 388912584 518550112 583368876 777825168 1166737752 1555650336 2333475504 4666951008