Search a number
-
+
707104468542096 = 24362462172
BaseRepresentation
bin1010000011000110111001011…
…0101010101010001010010000
310102201122112020012011111000000
42200301232112222222022100
51220140144422421321341
610543515150340130000
7301640416623561642
oct24061562652521220
93381575205144000
10707104468542096
1119533a359353359
12673816bb996900
132447288579b971
14c6880789b4892
1556b362384d8b6
hex2831b96aaa290

707104468542096 has 105 divisors (see below), whose sum is σ = 2054091050733081. Its totient is φ = 235700532222336.

The previous prime is 707104468542089. The next prime is 707104468542113. The reversal of 707104468542096 is 690245864401707.

The square root of 707104468542096 is 26591436.

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

707104468542096 is a `hidden beast` number, since 7 + 0 + 7 + 1 + 0 + 4 + 46 + 85 + 420 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53010339872400 + 654094128669696 = 7280820^2 + 25575264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2871751980 + ... + 2871998196.

Almost surely, 2707104468542096 is an apocalyptic number.

707104468542096 is the 26591436-th square number.

It is an amenable number.

707104468542096 is an abundant number, since it is smaller than the sum of its proper divisors (1346986582190985).

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

707104468542096 is an frugal number, since it uses more digits than its factorization.

707104468542096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492460 (or 246222 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 707104468542096 in words is "seven hundred seven trillion, one hundred four billion, four hundred sixty-eight million, five hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 246217 492434 738651 984868 1477302 1969736 2215953 2954604 3939472 4431906 5909208 6647859 8863812 11818416 13295718 17727624 19943577 26591436 35455248 39887154 53182872 59830731 79774308 106365744 119661462 159548616 179492193 239322924 319097232 358984386 478645848 717968772 957291696 1435937544 2871875088 60622811089 121245622178 181868433267 242491244356 363736866534 484982488712 545605299801 727473733068 969964977424 1091210599602 1454947466136 1636815899403 2182421199204 2909894932272 3273631798806 4364842398408 4910447698209 6547263597612 8729684796816 9820895396418 13094527195224 14731343094627 19641790792836 26189054390448 29462686189254 39283581585672 44194029283881 58925372378508 78567163171344 88388058567762 117850744757016 176776117135524 235701489514032 353552234271048 707104468542096