Search a number
-
+
716991148080 = 243251063993601
BaseRepresentation
bin10100110111100000000…
…00001011000000110000
32112112200100100011002200
422123300000023000300
543221344213214310
61305214200343200
7102541465126254
oct12336000130060
92475610304080
10716991148080
1125708a8a1739
12b6b5aa74b00
13527c568120c
14269b9b5c264
15139b5ad19c0
hexa6f000b030

716991148080 has 120 divisors (see below), whose sum is σ = 2408147327040. Its totient is φ = 191177625600.

The previous prime is 716991148063. The next prime is 716991148087. The reversal of 716991148080 is 80841199617.

716991148080 is a `hidden beast` number, since 71 + 6 + 9 + 9 + 11 + 480 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×7169911480803 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (716991148087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7613280 + ... + 7706880.

It is an arithmetic number, because the mean of its divisors is an integer number (20067894392).

Almost surely, 2716991148080 is an apocalyptic number.

It is an amenable number.

716991148080 is an abundant number, since it is smaller than the sum of its proper divisors (1691156178960).

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

716991148080 is a wasteful number, since it uses less digits than its factorization.

716991148080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104259 (or 104250 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 716991148080 in words is "seven hundred sixteen billion, nine hundred ninety-one million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 10639 21278 31917 42556 53195 63834 85112 93601 95751 106390 127668 159585 170224 187202 191502 212780 255336 280803 319170 374404 383004 425560 468005 478755 510672 561606 638340 748808 766008 842409 851120 936010 957510 1123212 1276680 1404015 1497616 1532016 1684818 1872020 1915020 2246424 2553360 2808030 3369636 3744040 3830040 4212045 4492848 5616060 6739272 7488080 7660080 8424090 11232120 13478544 16848180 22464240 33696360 67392720 995821039 1991642078 2987463117 3983284156 4979105195 5974926234 7966568312 8962389351 9958210390 11949852468 14937315585 15933136624 17924778702 19916420780 23899704936 29874631170 35849557404 39832841560 44811946755 47799409872 59749262340 71699114808 79665683120 89623893510 119498524680 143398229616 179247787020 238997049360 358495574040 716991148080