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338608670688 = 25321409834439
BaseRepresentation
bin1001110110101101010…
…01100100011111100000
31012101000012221201020100
410323112221210133200
521021432304430223
6415315450542400
733315016132431
oct4732651443740
91171005851210
10338608670688
1112066a849002
125575b437a00
1325c1387a192
1412562a17488
158c1be65043
hex4ed6a647e0

338608670688 has 72 divisors (see below), whose sum is σ = 963602967600. Its totient is φ = 112789315584.

The previous prime is 338608670657. The next prime is 338608670773. The reversal of 338608670688 is 886076806833.

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

It is a super-2 number, since 2×3386086706882 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11428 + ... + 823011.

It is an arithmetic number, because the mean of its divisors is an integer number (13383374550).

Almost surely, 2338608670688 is an apocalyptic number.

It is an amenable number.

338608670688 is an abundant number, since it is smaller than the sum of its proper divisors (624994296912).

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

338608670688 is a wasteful number, since it uses less digits than its factorization.

338608670688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835864 (or 835853 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 338608670688 in words is "three hundred thirty-eight billion, six hundred eight million, six hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1409 2818 4227 5636 8454 11272 12681 16908 22544 25362 33816 45088 50724 67632 101448 135264 202896 405792 834439 1668878 2503317 3337756 5006634 6675512 7509951 10013268 13351024 15019902 20026536 26702048 30039804 40053072 60079608 80106144 120159216 240318432 1175724551 2351449102 3527173653 4702898204 7054347306 9405796408 10581520959 14108694612 18811592816 21163041918 28217389224 37623185632 42326083836 56434778448 84652167672 112869556896 169304335344 338608670688