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20762628096 = 21237234483
BaseRepresentation
bin10011010101100011…
…001001000000000000
31222120222112210022210
4103111203021000000
5320010213044341
613312131102120
71333342266300
oct232543110000
958528483283
1020762628096
118894a64881
124035441940
131c5b6a4272
14100d6c3600
15817baec16
hex4d58c9000

20762628096 has 156 divisors (see below), whose sum is σ = 64400525232. Its totient is φ = 5932007424.

The previous prime is 20762628049. The next prime is 20762628101. The reversal of 20762628096 is 69082626702.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584871 + ... + 619353.

Almost surely, 220762628096 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 20762628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32200262616).

20762628096 is an abundant number, since it is smaller than the sum of its proper divisors (43637897136).

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

20762628096 is an equidigital number, since it uses as much as digits as its factorization.

20762628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34524 (or 34495 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 20762628096 in words is "twenty billion, seven hundred sixty-two million, six hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 9408 10752 12288 12544 14336 18816 21504 25088 28672 34483 37632 43008 50176 68966 75264 86016 100352 103449 137932 150528 200704 206898 241381 275864 301056 413796 482762 551728 602112 724143 827592 965524 1103456 1448286 1655184 1689667 1931048 2206912 2896572 3310368 3379334 3862096 4413824 5069001 5793144 6620736 6758668 7724192 8827648 10138002 11586288 13241472 13517336 15448384 17655296 20276004 23172576 26482944 27034672 30896768 35310592 40552008 46345152 52965888 54069344 61793536 70621184 81104016 92690304 105931776 108138688 123587072 141242368 162208032 185380608 211863552 216277376 247174144 324416064 370761216 423727104 432554752 494348288 648832128 741522432 865109504 988696576 1297664256 1483044864 1730219008 2595328512 2966089728 3460438016 5190657024 6920876032 10381314048 20762628096