Search a number
-
+
20465105745330 = 23253726332334097
BaseRepresentation
bin1001010011100111001110…
…10110111011010110110010
32200110110000101222102021200
410221303213112323112302
510140300014032322310
6111305312332232030
74211361253436331
oct451634726732662
980413011872250
1020465105745330
11658022573a534
12236633660b616
13b55b0b0b372c
1450a73301dd18
152575273759c0
hex129ce75bb5b2

20465105745330 has 96 divisors (see below), whose sum is σ = 54668141661744. Its totient is φ = 5307846340608.

The previous prime is 20465105745317. The next prime is 20465105745397. The reversal of 20465105745330 is 3354750156402.

20465105745330 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 5 + 105 + 7 + 4 + 533 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6375660350049 + 14089445395281 = 2525007^2 + 3753591^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7600842 + ... + 9934938.

Almost surely, 220465105745330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20465105745330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334070830872).

20465105745330 is an abundant number, since it is smaller than the sum of its proper divisors (34203035916414).

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

20465105745330 is a wasteful number, since it uses less digits than its factorization.

20465105745330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336780 (or 2336777 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 20465105745330 in words is "twenty trillion, four hundred sixty-five billion, one hundred five million, seven hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2633 3330 5266 7899 13165 15798 23697 26330 39495 47394 78990 97421 118485 194842 236970 292263 487105 584526 876789 974210 1461315 1753578 2334097 2922630 4383945 4668194 7002291 8767890 11670485 14004582 21006873 23340970 35011455 42013746 70022910 86361589 105034365 172723178 210068730 259084767 431807945 518169534 777254301 863615890 1295423835 1554508602 2590847670 3886271505 6145677401 7772543010 12291354802 18437032203 30728387005 36874064406 55311096609 61456774010 92185161015 110622193218 184370322030 227390063837 276555483045 454780127674 553110966090 682170191511 1136950319185 1364340383022 2046510574533 2273900638370 3410850957555 4093021149066 6821701915110 10232552872665 20465105745330