Search a number
-
+
380811082313610 = 232513261403407747
BaseRepresentation
bin101011010010110000111110…
…1010010011010111110001010
31211221100011222002021012202100
41112211201331102122332022
5344403202044033013420
63425530110205414230
7143132456422535604
oct12645417522327612
91757304862235670
10380811082313610
1110037a089272623
12368638a4b6a376
131346443c1cb500
146a074d752c174
152e05b84488190
hex15a587d49af8a

380811082313610 has 144 divisors (see below), whose sum is σ = 1072149752497824. Its totient is φ = 93736356075648.

The previous prime is 380811082313609. The next prime is 380811082313663. The reversal of 380811082313610 is 16313280118083.

It is a happy number.

380811082313610 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 1 + 1 + 0 + 8 + 23 + 1 + 3 + 610 = 666.

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 71 ways as a sum of consecutive naturals, for example, 933735757 + ... + 934143503.

It is an arithmetic number, because the mean of its divisors is an integer number (7445484392346).

Almost surely, 2380811082313610 is an apocalyptic number.

380811082313610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

380811082313610 is an abundant number, since it is smaller than the sum of its proper divisors (691338670184214).

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

380811082313610 is a wasteful number, since it uses less digits than its factorization.

380811082313610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469189 (or 469173 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 380811082313610 in words is "three hundred eighty trillion, eight hundred eleven billion, eighty-two million, three hundred thirteen thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 61403 122806 184209 307015 368418 407747 552627 614030 798239 815494 921045 1105254 1223241 1596478 1842090 2038735 2394717 2446482 2763135 3669723 3991195 4077470 4789434 5300711 5526270 6116205 7184151 7339446 7982390 10377107 10601422 11973585 12232410 14368302 15902133 18348615 20754214 23947170 26503555 31131321 31804266 35920755 36697230 47706399 51885535 53007110 62262642 68909243 71841510 79510665 93393963 95412798 103771070 137818486 155656605 159021330 186787926 206727729 238531995 311313210 344546215 413455458 466969815 477063990 620183187 689092430 933939630 1033638645 1240366374 2067277290 3100915935 6201831870 25036889041 50073778082 75110667123 125184445205 150221334246 225332001369 250368890410 325479557533 375553335615 450664002738 650959115066 751106671230 976438672599 1126660006845 1627397787665 1952877345198 2253320013690 2929316017797 3254795575330 4231234247929 4882193362995 5858632035594 8462468495858 9764386725990 12693702743787 14646580088985 21156171239645 25387405487574 29293160177970 38081108231361 42312342479290 63468513718935 76162216462722 126937027437870 190405541156805 380811082313610