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20837143296 = 283323131071
BaseRepresentation
bin10011011001111111…
…011001001100000000
31222210011202112222000
4103121333121030000
5320133302041141
613323352144000
71335235536624
oct233177311400
958704675860
1020837143296
11892302a192
124056398000
131c70c63cb8
14101955d184
1581e4cd5b6
hex4d9fd9300

20837143296 has 144 divisors (see below), whose sum is σ = 64298680320. Its totient is φ = 6643676160.

The previous prime is 20837143267. The next prime is 20837143309. The reversal of 20837143296 is 69234173802.

20837143296 is a `hidden beast` number, since 208 + 3 + 7 + 1 + 432 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93441 + ... + 224511.

Almost surely, 220837143296 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 20837143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32149340160).

20837143296 is an abundant number, since it is smaller than the sum of its proper divisors (43461537024).

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

20837143296 is a wasteful number, since it uses less digits than its factorization.

20837143296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131119 (or 131099 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20837143296 in words is "twenty billion, eight hundred thirty-seven million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 131071 158976 262142 393213 524284 786426 1048568 1179639 1572852 2097136 2359278 3014633 3145704 3538917 4194272 4718556 6029266 6291408 7077834 8388544 9043899 9437112 12058532 12582816 14155668 16777088 18087798 18874224 24117064 25165632 27131697 28311336 33554176 36175596 37748448 48234128 50331264 54263394 56622672 72351192 75496896 81395091 96468256 100662528 108526788 113245344 144702384 150993792 162790182 192936512 217053576 226490688 289404768 301987584 325580364 385873024 434107152 452981376 578809536 651160728 771746048 868214304 905962752 1157619072 1302321456 1736428608 2315238144 2604642912 3472857216 5209285824 6945714432 10418571648 20837143296