Search a number
-
+
4009356679888 = 2472311211313619
BaseRepresentation
bin111010010110000000010…
…001111101101011010000
3112012021211221221021202201
4322112000101331223100
51011142130302224023
612305512324052544
7562444411322200
oct72260021755320
915167757837681
104009356679888
1113063a435a76a
12549059534154
13231108430501
14dc0a7c80400
156e45c63ebad
hex3a58047dad0

4009356679888 has 120 divisors (see below), whose sum is σ = 9329346097920. Its totient is φ = 1662607457280.

The previous prime is 4009356679859. The next prime is 4009356679901. The reversal of 4009356679888 is 8889766539004.

It is a self number, because there is not a number n which added to its sum of digits gives 4009356679888.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 294387543 + ... + 294401161.

It is an arithmetic number, because the mean of its divisors is an integer number (77744550816).

Almost surely, 24009356679888 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 4009356679888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664673048960).

4009356679888 is an abundant number, since it is smaller than the sum of its proper divisors (5319989418032).

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

4009356679888 is a wasteful number, since it uses less digits than its factorization.

4009356679888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785 (or 25772 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 73.

The spelling of 4009356679888 in words is "four trillion, nine billion, three hundred fifty-six million, six hundred seventy-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 12113 12152 13619 24226 24304 27238 48452 54476 84791 95333 96904 108952 169582 190666 193808 217904 339164 375503 381332 422189 593537 667331 678328 751006 762664 844378 1187074 1334662 1356656 1502012 1525328 1688756 2374148 2628521 2669324 2955323 3004024 3377512 4748296 5257042 5338648 5910646 6008048 6755024 9496592 10514084 10677296 11821292 18399647 20687261 21028168 23642584 36799294 41374522 42056336 47285168 73598588 82749044 147197176 164966947 165498088 294394352 329933894 330996176 659867788 1154768629 1319735576 2309537258 2639471152 4619074516 5113975357 8083380403 9238149032 10227950714 16166760806 18476298064 20455901428 32333521612 35797827499 40911802856 64667043224 71595654998 81823605712 129334086448 143191309996 250584792493 286382619992 501169584986 572765239984 1002339169972 2004678339944 4009356679888