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42651016091780 = 2251922927024189
BaseRepresentation
bin10011011001010011101101…
…01010011101100010000100
312121000101201122101220021112
421230221312222131202010
521042243240104414110
6230413334543304152
711661301640034215
oct1154516652354204
9177011648356245
1042651016091780
1112654215746278
12494a076bab058
131aa4c86bab795
14a7646a87940c
154de6b671b405
hex26ca76a9d884

42651016091780 has 108 divisors (see below), whose sum is σ = 97901347978980. Its totient is φ = 15605160834816.

The previous prime is 42651016091731. The next prime is 42651016091851. The reversal of 42651016091780 is 8719061015624.

It can be written as a sum of positive squares in 6 ways, for example, as 32497993984 + 42618518097796 = 180272^2 + 6528286^2 .

It is a super-2 number, since 2×426510160917802 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2559926 + ... + 9584114.

Almost surely, 242651016091780 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 42651016091780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48950673989490).

42651016091780 is an abundant number, since it is smaller than the sum of its proper divisors (55250331887200).

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

42651016091780 is a wasteful number, since it uses less digits than its factorization.

42651016091780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024294 (or 7024244 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 42651016091780 in words is "forty-two trillion, six hundred fifty-one billion, sixteen million, ninety-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 361 380 551 580 722 841 1102 1444 1682 1805 2204 2755 3364 3610 4205 5510 7220 8410 10469 11020 15979 16820 20938 31958 41876 52345 63916 79895 104690 159790 209380 303601 319580 607202 1214404 1518005 3036010 6072020 7024189 14048378 28096756 35120945 70241890 133459591 140483780 203701481 266919182 407402962 533838364 667297955 814805924 1018507405 1334595910 2037014810 2535732229 2669191820 3870328139 4074029620 5071464458 5907342949 7740656278 10142928916 11814685898 12678661145 15481312556 19351640695 23629371796 25357322290 29536714745 38703281390 50714644580 59073429490 73536234641 77406562780 112239516031 118146858980 147072469282 224479032062 294144938564 367681173205 448958064124 561197580155 735362346410 1122395160310 1470724692820 2132550804589 2244790320620 4265101609178 8530203218356 10662754022945 21325508045890 42651016091780