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20296630272 = 217371727
BaseRepresentation
bin10010111001110001…
…100000000000000000
31221101111200122111010
4102321301200000000
5313031414132042
613154003120520
71315653340122
oct227161400000
957344618433
1020296630272
118675a11806
123b25373140
131bb5c959c9
14da785d212
157dbd1159c
hex4b9c60000

20296630272 has 144 divisors (see below), whose sum is σ = 54961949952. Its totient is φ = 6661079040.

The previous prime is 20296630247. The next prime is 20296630273. The reversal of 20296630272 is 27203669202.

It is a self number, because there is not a number n which added to its sum of digits gives 20296630272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20296630273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27917973 + ... + 27918699.

It is an arithmetic number, because the mean of its divisors is an integer number (381680208).

Almost surely, 220296630272 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 20296630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480974976).

20296630272 is an abundant number, since it is smaller than the sum of its proper divisors (34665319680).

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

20296630272 is an frugal number, since it uses more digits than its factorization.

20296630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 20296630272 in words is "twenty billion, two hundred ninety-six million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 727 768 852 1024 1136 1454 1536 1704 2048 2181 2272 2908 3072 3408 4096 4362 4544 5816 6144 6816 8192 8724 9088 11632 12288 13632 16384 17448 18176 23264 24576 27264 32768 34896 36352 46528 49152 51617 54528 65536 69792 72704 93056 98304 103234 109056 131072 139584 145408 154851 186112 196608 206468 218112 279168 290816 309702 372224 393216 412936 436224 558336 581632 619404 744448 825872 872448 1116672 1163264 1238808 1488896 1651744 1744896 2233344 2326528 2477616 2977792 3303488 3489792 4466688 4653056 4955232 5955584 6606976 6979584 8933376 9306112 9910464 11911168 13213952 13959168 17866752 19820928 23822336 26427904 27918336 35733504 39641856 47644672 52855808 71467008 79283712 95289344 105711616 142934016 158567424 211423232 285868032 317134848 422846464 634269696 845692928 1268539392 1691385856 2537078784 3382771712 5074157568 6765543424 10148315136 20296630272