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20369132992 = 261353607761
BaseRepresentation
bin10010111110000110…
…000100110111000000
31221120120010011112001
4102332012010313000
5313203444223432
613205113113344
71320523526245
oct227606046700
957516104461
1020369132992
11870293210a
123b456b8854
131bc7ccc720
14db33335cc
157e33839e7
hex4be184dc0

20369132992 has 112 divisors (see below), whose sum is σ = 44481975552. Its totient is φ = 9196462080.

The previous prime is 20369132909. The next prime is 20369133041. The reversal of 20369132992 is 29923196302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26765892 + ... + 26766652.

It is an arithmetic number, because the mean of its divisors is an integer number (397160496).

Almost surely, 220369132992 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 20369132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240987776).

20369132992 is an abundant number, since it is smaller than the sum of its proper divisors (24112842560).

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

20369132992 is a wasteful number, since it uses less digits than its factorization.

20369132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 20369132992 in words is "twenty billion, three hundred sixty-nine million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 607 689 761 832 848 1214 1378 1522 1696 2428 2756 3044 3392 4856 5512 6088 7891 9712 9893 11024 12176 15782 19424 19786 22048 24352 31564 32171 38848 39572 40333 44096 48704 63128 64342 79144 80666 126256 128684 158288 161332 252512 257368 316576 322664 418223 461927 505024 514736 524329 633152 645328 836446 923854 1029472 1048658 1290656 1672892 1847708 2058944 2097316 2581312 3345784 3695416 4194632 6005051 6691568 7390832 8389264 12010102 13383136 14781664 16778528 24020204 24482131 26766272 29563328 33557056 48040408 48964262 96080816 97928524 192161632 195857048 318267703 384323264 391714096 636535406 783428192 1273070812 1566856384 2546141624 5092283248 10184566496 20369132992