Search a number
-
+
11920827342320 = 2451326942610907
BaseRepresentation
bin1010110101111000100010…
…1011011101110111110000
31120012121201221202101002122
42231132020223131313300
53030302323244423240
641204204045133412
72340152133353441
oct255361053356760
946177657671078
1011920827342320
11388665a294306
121406404b5a268
1368618aac2050
142d2d84a892c8
1515a14c3ca4b5
hexad788adddf0

11920827342320 has 80 divisors (see below), whose sum is σ = 29958877196640. Its totient is φ = 4385173558272.

The previous prime is 11920827342299. The next prime is 11920827342331. The reversal of 11920827342320 is 2324372802911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×119208273423202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21025694 + ... + 21585213.

It is an arithmetic number, because the mean of its divisors is an integer number (374485964958).

Almost surely, 211920827342320 is an apocalyptic number.

11920827342320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11920827342320 is an abundant number, since it is smaller than the sum of its proper divisors (18038049854320).

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

11920827342320 is a wasteful number, since it uses less digits than its factorization.

11920827342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42611202 (or 42611196 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 11920827342320 in words is "eleven trillion, nine hundred twenty billion, eight hundred twenty-seven million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 269 520 538 1040 1076 1345 2152 2690 3497 4304 5380 6994 10760 13988 17485 21520 27976 34970 55952 69940 139880 279760 42610907 85221814 170443628 213054535 340887256 426109070 553941791 681774512 852218140 1107883582 1704436280 2215767164 2769708955 3408872560 4431534328 5539417910 8863068656 11078835820 11462333983 22157671640 22924667966 44315343280 45849335932 57311669915 91698671864 114623339830 149010341779 183397343728 229246679660 298020683558 458493359320 596041367116 745051708895 916986718640 1192082734232 1490103417790 2384165468464 2980206835580 5960413671160 11920827342320