Search a number
-
+
45835666776216 = 233571332084759
BaseRepresentation
bin10100110101111111100101…
…01000101110000010011000
320000021211212102111211200000
422122333302220232002120
522001432421143314331
6241252340432013000
712440342360152212
oct1232776250560230
9200254772454600
1045835666776216
1113671884a64189
125183314091160
131c76391a07cb5
14b4665b09d5b2
15547456abe0e6
hex29aff2a2e098

45835666776216 has 96 divisors (see below), whose sum is σ = 130549160851200. Its totient is φ = 15063364622880.

The previous prime is 45835666776197. The next prime is 45835666776239. The reversal of 45835666776216 is 61267766653854.

45835666776216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458356667762162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165904356 + ... + 166180403.

It is an arithmetic number, because the mean of its divisors is an integer number (1359887092200).

Almost surely, 245835666776216 is an apocalyptic number.

It is an amenable number.

45835666776216 is an abundant number, since it is smaller than the sum of its proper divisors (84713494074984).

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

45835666776216 is a wasteful number, since it uses less digits than its factorization.

45835666776216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332084851 (or 332084835 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 45835666776216 in words is "forty-five trillion, eight hundred thirty-five billion, six hundred sixty-six million, seven hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 852 972 1278 1704 1917 1944 2556 3834 5112 5751 7668 11502 15336 17253 23004 34506 46008 69012 138024 332084759 664169518 996254277 1328339036 1992508554 2656678072 2988762831 3985017108 5977525662 7970034216 8966288493 11955051324 17932576986 23578017889 23910102648 26898865479 35865153972 47156035778 53797730958 70734053667 71730307944 80696596437 94312071556 107595461916 141468107334 161393192874 188624143112 212202161001 215190923832 282936214668 322786385748 424404322002 565872429336 636606483003 645572771496 848808644004 1273212966006 1697617288008 1909819449009 2546425932012 3819638898018 5092851864024 5729458347027 7639277796036 11458916694054 15278555592072 22917833388108 45835666776216