Search a number
-
+
469166091849 = 32721341932
BaseRepresentation
bin1101101001111000111…
…10100110111001001001
31122211222222202212221100
412310330132212321021
530141323004414344
6555310521332013
745616241660400
oct6647436467111
91584888685840
10469166091849
11170a77033984
1276b16937009
133531c090000
14189ca144637
15c30dbd5569
hex6d3c7a6e49

469166091849 has 135 divisors (see below), whose sum is σ = 858466182483. Its totient is φ = 246189984768.

The previous prime is 469166091847. The next prime is 469166091853. The reversal of 469166091849 is 948190661964.

The square root of 469166091849 is 684957.

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

469166091849 is a `hidden beast` number, since 4 + 6 + 9 + 1 + 6 + 609 + 18 + 4 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 436610385225 + 32555706624 = 660765^2 + 180432^2 .

It is not a de Polignac number, because 469166091849 - 21 = 469166091847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (469166091847) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2430912297 + ... + 2430912489.

Almost surely, 2469166091849 is an apocalyptic number.

469166091849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

469166091849 is the 684957-th square number.

469166091849 is the 342479-th centered octagonal number.

It is an amenable number.

469166091849 is a deficient number, since it is larger than the sum of its proper divisors (389300090634).

469166091849 is an frugal number, since it uses more digits than its factorization.

469166091849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 469166091849 in words is "four hundred sixty-nine billion, one hundred sixty-six million, ninety-one thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 193 273 441 507 579 637 819 1183 1351 1521 1737 1911 2197 2509 3549 4053 5733 6591 7527 8281 9457 10647 12159 15379 17563 19773 22581 24843 28371 28561 32617 37249 46137 52689 74529 85113 85683 97851 107653 111747 122941 138411 158067 199927 228319 257049 260743 293553 322959 335241 368823 424021 484237 599781 684957 782229 968877 1106469 1272063 1399489 1452711 1598233 1799343 1825201 2054871 2346687 2968147 3389659 3816189 4198467 4358133 4794699 5475603 5512273 6295081 8904441 10168977 12595401 14384097 16426809 16536819 18885243 20777029 23727613 26713323 30506931 38585911 44065567 49610457 56655729 62331087 71182839 81836053 115757733 132196701 186993261 213548517 245508159 270101377 308458969 347273199 396590103 572852371 736524477 810304131 925376907 1063868689 1718557113 2430912393 2776130721 3191606067 4009966597 5155671339 7447080823 9574818201 12029899791 22341242469 36089699373 52129565761 67023727407 156388697283 469166091849