Search a number
-
+
481196532810 = 235729109724901
BaseRepresentation
bin1110000000010011000…
…11000110010001001010
31201000001102011121102210
413000021203012101022
530340442303022220
61005020355405550
746523333020320
oct7001143062112
91630042147383
10481196532810
1117608a997274
12793138b38b6
13364b8622426
141940bc07d10
15c7b4e6a6e0
hex70098c644a

481196532810 has 128 divisors (see below), whose sum is σ = 1377893721600. Its totient is φ = 105220684800.

The previous prime is 481196532799. The next prime is 481196532821. The reversal of 481196532810 is 18235691184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481196532799) and next prime (481196532821).

It is a super-2 number, since 2×4811965328102 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481196532810.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301360 + ... + 1026260.

It is an arithmetic number, because the mean of its divisors is an integer number (10764794700).

Almost surely, 2481196532810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481196532810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688946860800).

481196532810 is an abundant number, since it is smaller than the sum of its proper divisors (896697188790).

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

481196532810 is a wasteful number, since it uses less digits than its factorization.

481196532810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725056.

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 481196532810 in words is "four hundred eighty-one billion, one hundred ninety-six million, five hundred thirty-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 109 145 174 203 210 218 290 327 406 435 545 609 654 763 870 1015 1090 1218 1526 1635 2030 2289 3045 3161 3270 3815 4578 6090 6322 7630 9483 11445 15805 18966 22127 22890 31610 44254 47415 66381 94830 110635 132762 221270 331905 663810 724901 1449802 2174703 3624505 4349406 5074307 7249010 10148614 10873515 15222921 21022129 21747030 25371535 30445842 42044258 50743070 63066387 76114605 79014209 105110645 126132774 147154903 152229210 158028418 210221290 237042627 294309806 315331935 395071045 441464709 474085254 553099463 630663870 735774515 790142090 882929418 1106198926 1185213135 1471549030 1659298389 2207323545 2291412061 2370426270 2765497315 3318596778 4414647090 4582824122 5530994630 6874236183 8296491945 11457060305 13748472366 16039884427 16592983890 22914120610 32079768854 34371180915 48119653281 68742361830 80199422135 96239306562 160398844270 240598266405 481196532810