Search a number
-
+
45139468680 = 23325373388849
BaseRepresentation
bin101010000010100001…
…011010000110001000
311022111211212121010100
4222002201122012020
51214421200444210
632423051245400
73155412103335
oct520241320610
9138454777110
1045139468680
1118164064a19
1288b9149860
134344a936a7
142282db598c
151292cdc5c0
hexa8285a188

45139468680 has 96 divisors (see below), whose sum is σ = 150668271000. Its totient is φ = 11711858688.

The previous prime is 45139468667. The next prime is 45139468721. The reversal of 45139468680 is 8686493154.

45139468680 is a `hidden beast` number, since 4 + 513 + 9 + 4 + 68 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44430737796 + 708730884 = 210786^2 + 26622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681105 + ... + 1707744.

Almost surely, 245139468680 is an apocalyptic number.

45139468680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45139468680 is an abundant number, since it is smaller than the sum of its proper divisors (105528802320).

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

45139468680 is a wasteful number, since it uses less digits than its factorization.

45139468680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388903 (or 3388896 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45139468680 in words is "forty-five billion, one hundred thirty-nine million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 3388849 6777698 10166547 13555396 16944245 20333094 27110792 30499641 33888490 40666188 50832735 60999282 67776980 81332376 101665470 121998564 125387413 135553960 152498205 203330940 243997128 250774826 304996410 376162239 406661880 501549652 609992820 626937065 752324478 1003099304 1128486717 1219985640 1253874130 1504648956 1880811195 2256973434 2507748260 3009297912 3761622390 4513946868 5015496520 5642433585 7523244780 9027893736 11284867170 15046489560 22569734340 45139468680