Search a number
-
+
2690458202656 = 25737332201003
BaseRepresentation
bin100111001001101011110…
…011100011001000100000
3100112012112122202201110101
4213021223303203020200
5323040024244441111
65415551320312144
7365244030251320
oct47115363431040
910465478681411
102690458202656
11948020573954
12375519012654
1316692ac23283
149430c827280
1549eb9535bc1
hex2726bce3220

2690458202656 has 48 divisors (see below), whose sum is σ = 6069760449984. Its totient is φ = 1149962183424.

The previous prime is 2690458202629. The next prime is 2690458202701. The reversal of 2690458202656 is 6562028540962.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2690458202597 and 2690458202606.

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 7 ways as a sum of consecutive naturals, for example, 16016950 + ... + 16184053.

It is an arithmetic number, because the mean of its divisors is an integer number (126453342708).

Almost surely, 22690458202656 is an apocalyptic number.

It is an amenable number.

2690458202656 is an abundant number, since it is smaller than the sum of its proper divisors (3379302247328).

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

2690458202656 is a wasteful number, since it uses less digits than its factorization.

2690458202656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201393 (or 32201385 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 2690458202656 in words is "two trillion, six hundred ninety billion, four hundred fifty-eight million, two hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2611 2984 5222 5968 10444 11936 20888 41776 83552 32201003 64402006 128804012 225407021 257608024 450814042 515216048 901628084 1030432096 1803256168 3606512336 7213024672 12010974119 24021948238 48043896476 84076818833 96087792952 168153637666 192175585904 336307275332 384351171808 672614550664 1345229101328 2690458202656