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20920911021396 = 2234178594421743
BaseRepresentation
bin1001100000111000001110…
…11110000100010101010100
32202002000112021000112120000
410300130013132010111110
510220232011210141041
6112254533413211300
74256325451400241
oct460340736042524
982060467015500
1020920911021396
1167365659567a1
12241a742930b30
13b89aab0cc889
145248129145c8
152643030d5bb6
hex130707784554

20920911021396 has 120 divisors (see below), whose sum is σ = 57975961760640. Its totient is φ = 6555780811008.

The previous prime is 20920911021371. The next prime is 20920911021401. The reversal of 20920911021396 is 69312011902902.

20920911021396 is a `hidden beast` number, since 20 + 9 + 209 + 1 + 10 + 21 + 396 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2520501 + ... + 6942243.

It is an arithmetic number, because the mean of its divisors is an integer number (483133014672).

Almost surely, 220920911021396 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 20920911021396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28987980880320).

20920911021396 is an abundant number, since it is smaller than the sum of its proper divisors (37055050739244).

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

20920911021396 is a wasteful number, since it uses less digits than its factorization.

20920911021396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422635 (or 4422624 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 20920911021396 in words is "twenty trillion, nine hundred twenty billion, nine hundred eleven million, twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 859 918 1377 1718 1836 2577 2754 3436 5154 5508 7731 10308 14603 15462 23193 29206 30924 43809 46386 58412 69579 87618 92772 131427 139158 175236 262854 278316 394281 525708 788562 1182843 1577124 2365686 4421743 4731372 8843486 13265229 17686972 26530458 39795687 53060916 75169631 79591374 119387061 150339262 159182748 225508893 238774122 300678524 358161183 451017786 477548244 676526679 716322366 902035572 1353053358 1432644732 2029580037 2706106716 3798277237 4059160074 6088740111 7596554474 8118320148 11394831711 12177480222 15193108948 22789663422 24354960444 34184495133 45579326844 64570713029 68368990266 102553485399 129141426058 136737980532 193712139087 205106970798 258282852116 307660456197 387424278174 410213941596 581136417261 615320912394 774848556348 1162272834522 1230641824788 1743409251783 2324545669044 3486818503566 5230227755349 6973637007132 10460455510698 20920911021396