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3664969416 = 233437914923
BaseRepresentation
bin1101101001110010…
…1111111011001000
3100110102021201220000
43122130233323020
530001213010131
61403401003000
7156551504013
oct33234577310
910412251800
103664969416
111610863849
12863483460
134653a9c74
1426aa6237a
15166b46ce6
hexda72fec8

3664969416 has 80 divisors (see below), whose sum is σ = 10293082800. Its totient is φ = 1218351456.

The previous prime is 3664969397. The next prime is 3664969423. The reversal of 3664969416 is 6149694663.

3664969416 is a `hidden beast` number, since 3 + 66 + 496 + 94 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238131 + ... + 253053.

It is an arithmetic number, because the mean of its divisors is an integer number (128663535).

Almost surely, 23664969416 is an apocalyptic number.

3664969416 is a gapful number since it is divisible by the number (36) 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 3664969416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146541400).

3664969416 is an abundant number, since it is smaller than the sum of its proper divisors (6628113384).

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

3664969416 is a wasteful number, since it uses less digits than its factorization.

3664969416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15307 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 3664969416 is about 60538.9908736510. The cubic root of 3664969416 is about 1541.7837059792.

The spelling of 3664969416 in words is "three billion, six hundred sixty-four million, nine hundred sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 379 648 758 1137 1516 2274 3032 3411 4548 6822 9096 10233 13644 14923 20466 27288 29846 30699 40932 44769 59692 61398 81864 89538 119384 122796 134307 179076 245592 268614 358152 402921 537228 805842 1074456 1208763 1611684 2417526 3223368 4835052 5655817 9670104 11311634 16967451 22623268 33934902 45246536 50902353 67869804 101804706 135739608 152707059 203609412 305414118 407218824 458121177 610828236 916242354 1221656472 1832484708 3664969416