Search a number
-
+
307645496964 = 22321345472
BaseRepresentation
bin1000111101000010001…
…10011011111010000100
31002102002100021111220100
410132201012123322010
520020024221400324
6353155210404100
731140512402061
oct4364106337204
91072070244810
10307645496964
11109520954333
124b759a30630
132301aaa0000
1410c666c9c68
1580089d14c9
hex47a119be84

307645496964 has 135 divisors (see below), whose sum is σ = 844005101667. Its totient is φ = 94487099616.

The previous prime is 307645496927. The next prime is 307645496969. The reversal of 307645496964 is 469694546703.

The square root of 307645496964 is 554658.

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

307645496964 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 454 + 96 + 96 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152535551364 + 155109945600 = 390558^2 + 393840^2 .

It is not an unprimeable number, because it can be changed into a prime (307645496969) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 562422939 + ... + 562423485.

Almost surely, 2307645496964 is an apocalyptic number.

307645496964 is the 554658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307645496964

307645496964 is an abundant number, since it is smaller than the sum of its proper divisors (536359604703).

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

307645496964 is an frugal number, since it uses more digits than its factorization.

307645496964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

It can be divided in two parts, 307645 and 496964, that added together give a square (804609 = 8972).

The spelling of 307645496964 in words is "three hundred seven billion, six hundred forty-five million, four hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 547 676 1014 1094 1521 1641 2028 2188 2197 3042 3282 4394 4923 6084 6564 6591 7111 8788 9846 13182 14222 19692 19773 21333 26364 28444 28561 39546 42666 57122 63999 79092 85332 85683 92443 114244 127998 171366 184886 255996 257049 277329 299209 342732 369772 514098 554658 598418 831987 897627 1028196 1109316 1196836 1201759 1663974 1795254 2403518 2692881 3327948 3590508 3605277 3889717 4807036 5385762 7210554 7779434 10771524 10815831 11669151 14421108 15558868 15622867 21631662 23338302 31245734 35007453 43263324 46676604 46868601 50566321 62491468 70014906 93737202 101132642 140029812 140605803 151698963 187474404 202265284 281211606 303397926 455096889 562423212 606795852 657362173 910193778 1314724346 1820387556 1972086519 2629448692 3944173038 5916259557 7888346076 8545708249 11832519114 17091416498 23665038228 25637124747 34182832996 51274249494 76911374241 102548498988 153822748482 307645496964