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4664123496 = 23321922315289
BaseRepresentation
bin1000101100000000…
…01110000001101000
3110001001101000121200
410112000032001220
534023003422441
62050452204200
7223403252454
oct42600160150
913031330550
104664123496
111a8385a01a
12aa2009660
135943ac0b6
1432362d664
151c470c7b6
hex11600e068

4664123496 has 96 divisors (see below), whose sum is σ = 13357344000. Its totient is φ = 1466180352.

The previous prime is 4664123449. The next prime is 4664123549. The reversal of 4664123496 is 6943214664.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297420 + ... + 312708.

It is an arithmetic number, because the mean of its divisors is an integer number (139139000).

Almost surely, 24664123496 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 4664123496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678672000).

4664123496 is an abundant number, since it is smaller than the sum of its proper divisors (8693220504).

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

4664123496 is a wasteful number, since it uses less digits than its factorization.

4664123496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15543 (or 15536 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4664123496 is about 68294.3884664033. The cubic root of 4664123496 is about 1670.7956928693.

The spelling of 4664123496 in words is "four billion, six hundred sixty-four million, one hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 223 228 342 446 456 669 684 892 1338 1368 1784 2007 2676 4014 4237 5352 8028 8474 12711 15289 16056 16948 25422 30578 33896 38133 45867 50844 61156 76266 91734 101688 122312 137601 152532 183468 275202 290491 305064 366936 550404 580982 871473 1100808 1161964 1742946 2323928 2614419 3409447 3485892 5228838 6818894 6971784 10228341 10457676 13637788 20456682 20915352 27275576 30685023 40913364 61370046 64779493 81826728 122740092 129558986 194338479 245480184 259117972 388676958 518235944 583015437 777353916 1166030874 1554707832 2332061748 4664123496