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681940290735 = 375115669371
BaseRepresentation
bin10011110110001101100…
…11110000110010101111
32102012012120222010000000
421323012303300302233
542133103203300420
61241140135035343
7100161054554634
oct11730663606257
92365176863000
10681940290735
11243233574840
12b01b850bb53
134c3caa61b42
14250129b418b
1512b13857690
hex9ec6cf0caf

681940290735 has 64 divisors (see below), whose sum is σ = 1338878891520. Its totient is φ = 330637658400.

The previous prime is 681940290653. The next prime is 681940290751. The reversal of 681940290735 is 537092049186.

681940290735 is a `hidden beast` number, since 6 + 81 + 9 + 402 + 90 + 73 + 5 = 666.

It is not a de Polignac number, because 681940290735 - 215 = 681940257967 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2714401 + ... + 2954970.

It is an arithmetic number, because the mean of its divisors is an integer number (20919982680).

It is a 1-persistent number, because it is pandigital, but 2⋅681940290735 = 1363880581470 is not.

Almost surely, 2681940290735 is an apocalyptic number.

681940290735 is a deficient number, since it is larger than the sum of its proper divisors (656938600785).

681940290735 is an equidigital number, since it uses as much as digits as its factorization.

681940290735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669408 (or 5669390 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 681940290735 in words is "six hundred eighty-one billion, nine hundred forty million, two hundred ninety thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2187 2673 3645 4455 8019 10935 13365 24057 40095 120285 5669371 17008113 28346855 51024339 62363081 85040565 153073017 187089243 255121695 311815405 459219051 561267729 765365085 935446215 1377657153 1683803187 2296095255 2806338645 4132971459 5051409561 6888285765 8419015935 12398914377 15154228683 20664857295 25257047805 45462686049 61994571885 75771143415 136388058147 227313430245 681940290735