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233773628388468 = 223717988316564507
BaseRepresentation
bin110101001001110110101010…
…000100111111010001110100
31010122201112121002220011101020
4311021312222010333101310
5221120121342331412333
62145110042225301140
7100145405304043260
oct6511665204772164
91118645532804336
10233773628388468
116853a9258397a3
1222276a8b1947b0
13a0599b275200c
1441a29bda430a0
151c05ec65933b3
hexd49daa13f474

233773628388468 has 96 divisors (see below), whose sum is σ = 660133543394304. Its totient is φ = 62857132144128.

The previous prime is 233773628388449. The next prime is 233773628388527. The reversal of 233773628388468 is 864883826377332.

It is a junction number, because it is equal to n+sod(n) for n = 233773628388393 and 233773628388402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5830671 + ... + 22395177.

It is an arithmetic number, because the mean of its divisors is an integer number (6876391077024).

Almost surely, 2233773628388468 is an apocalyptic number.

233773628388468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233773628388468 is an abundant number, since it is smaller than the sum of its proper divisors (426359915005836).

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

233773628388468 is a wasteful number, since it uses less digits than its factorization.

233773628388468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574421 (or 16574419 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 78.

The spelling of 233773628388468 in words is "two hundred thirty-three trillion, seven hundred seventy-three billion, six hundred twenty-eight million, three hundred eighty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 9883 19766 29649 39532 59298 69181 118596 138362 168011 207543 276724 336022 415086 504033 672044 830172 1008066 1176077 2016132 2352154 3528231 4704308 7056462 14112924 16564507 33129014 49693521 66258028 99387042 115951549 198774084 231903098 281596619 347854647 463806196 563193238 695709294 844789857 1126386476 1391418588 1689579714 1971176333 3379159428 3942352666 5913528999 7884705332 11827057998 23654115996 163707022681 327414045362 491121068043 654828090724 982242136086 1145949158767 1964484272172 2291898317534 2783019385577 3437847476301 4583796635068 5566038771154 6875694952602 8349058156731 11132077542308 13751389905204 16698116313462 19481135699039 33396232626924 38962271398078 58443407097117 77924542796156 116886814194234 233773628388468