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20185197926436 = 223217425912
BaseRepresentation
bin1001001011011101110111…
…00011010101100000100100
32122110200112011000221111100
410211232323203111200210
510121203241132121221
6110532541340240100
74152222010306314
oct445567343254044
978420464027440
1020185197926436
116482549003294
122320039b40030
13b355c0a963aa
144dad7c51b444
152500e3a90926
hex125bbb8d5824

20185197926436 has 135 divisors (see below), whose sum is σ = 54233569016263. Its totient is φ = 6330167034240.

The previous prime is 20185197926431. The next prime is 20185197926441. The reversal of 20185197926436 is 63462979158102.

The square root of 20185197926436 is 4492794.

It is a perfect power (a square), and thus also a powerful number.

20185197926436 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 5 + 197 + 9 + 2 + 6 + 436 = 666.

It is an interprime number because it is at equal distance from previous prime (20185197926431) and next prime (20185197926441).

It can be written as a sum of positive squares in 2 ways, for example, as 6264538444836 + 13920659481600 = 2502906^2 + 3731040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20185197926431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7790503501 + ... + 7790506091.

It is a 1-persistent number, because it is pandigital, but 2⋅20185197926436 = 40370395852872 is not.

Almost surely, 220185197926436 is an apocalyptic number.

20185197926436 is the 4492794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20185197926436

20185197926436 is an abundant number, since it is smaller than the sum of its proper divisors (34048371089827).

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

20185197926436 is an frugal number, since it uses more digits than its factorization.

20185197926436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 20185197926436 in words is "twenty trillion, one hundred eighty-five billion, one hundred ninety-seven million, nine hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2591 2601 3468 4913 5182 5202 7773 9826 10364 10404 14739 15546 19652 23319 29478 31092 44047 44217 46638 58956 83521 88094 88434 93276 132141 167042 176188 176868 250563 264282 334084 396423 501126 528564 748799 751689 792846 1002252 1497598 1503378 1585692 2246397 2995196 3006756 4492794 6713281 6739191 8985588 12729583 13426562 13478382 20139843 25459166 26853124 26956764 38188749 40279686 50918332 60419529 76377498 80559372 114125777 114566247 120839058 152754996 216402911 228251554 229132494 241678116 342377331 432805822 456503108 458264988 649208733 684754662 865611644 1027131993 1298417466 1369509324 1940138209 1947626199 2054263986 2596834932 3880276418 3895252398 4108527972 5820414627 7760552836 7790504796 11640829254 17461243881 23281658508 32982349553 34922487762 65964699106 69844975524 98947048659 131929398212 197894097318 296841145977 395788194636 560699942401 593682291954 1121399884802 1187364583908 1682099827203 2242799769604 3364199654406 5046299481609 6728399308812 10092598963218 20185197926436