Search a number
-
+
6623153920 = 285371091283
BaseRepresentation
bin1100010101100010…
…10100111100000000
3122002120122002011001
412022301110330000
5102031011411140
63013113101344
7323061610435
oct61261247400
918076562131
106623153920
112899663629
12134a0b7854
138172104b6
1446b8a1b8c
1528b6cae9a
hex18ac54f00

6623153920 has 144 divisors (see below), whose sum is σ = 16455589920. Its totient is φ = 2552020992.

The previous prime is 6623153909. The next prime is 6623153921. The reversal of 6623153920 is 293513266.

It is a super-3 number, since 3×66231539203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 6623153920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6623153921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5161599 + ... + 5162881.

It is an arithmetic number, because the mean of its divisors is an integer number (114274930).

Almost surely, 26623153920 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 6623153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227794960).

6623153920 is an abundant number, since it is smaller than the sum of its proper divisors (9832436000).

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

6623153920 is a wasteful number, since it uses less digits than its factorization.

6623153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 6623153920 is about 81382.7618110863. The cubic root of 6623153920 is about 1877.9684104891.

The spelling of 6623153920 in words is "six billion, six hundred twenty-three million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 109 128 148 160 185 218 256 296 320 370 436 545 592 640 740 872 1090 1184 1280 1283 1480 1744 2180 2368 2566 2960 3488 4033 4360 4736 5132 5920 6415 6976 8066 8720 9472 10264 11840 12830 13952 16132 17440 20165 20528 23680 25660 27904 32264 34880 40330 41056 47360 47471 51320 64528 69760 80660 82112 94942 102640 129056 139520 139847 161320 164224 189884 205280 237355 258112 279694 322640 328448 379768 410560 474710 516224 559388 645280 699235 759536 821120 949420 1032448 1118776 1290560 1398470 1519072 1642240 1898840 2237552 2581120 2796940 3038144 3797680 4475104 5162240 5174339 5593880 6076288 7595360 8950208 10348678 11187760 12152576 15190720 17900416 20697356 22375520 25871695 30381440 35800832 41394712 44751040 51743390 60762880 82789424 89502080 103486780 165578848 179004160 206973560 331157696 413947120 662315392 827894240 1324630784 1655788480 3311576960 6623153920