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80469242391456 = 25322326945160351
BaseRepresentation
bin10010010010111110110100…
…100110111010101110100000
3101112220210011212012022221200
4102102332310212322232200
541021402002023011311
6443051020513321200
722643465561462622
oct2222766446725640
9345823155168850
1080469242391456
11237048a5557046
12903758a566200
1335b92a8988209
1415c2a36cbac12
159482ca191556
hex492fb49baba0

80469242391456 has 144 divisors (see below), whose sum is σ = 239671407306240. Its totient is φ = 25561480665600.

The previous prime is 80469242391403. The next prime is 80469242391457. The reversal of 80469242391456 is 65419324296408.

80469242391456 is a `hidden beast` number, since 8 + 0 + 4 + 6 + 92 + 4 + 2 + 3 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80469242391393 and 80469242391402.

It is not an unprimeable number, because it can be changed into a prime (80469242391457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20798320 + ... + 24362031.

It is an arithmetic number, because the mean of its divisors is an integer number (1664384772960).

Almost surely, 280469242391456 is an apocalyptic number.

It is an amenable number.

80469242391456 is an abundant number, since it is smaller than the sum of its proper divisors (159202164914784).

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

80469242391456 is a wasteful number, since it uses less digits than its factorization.

80469242391456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45160659 (or 45160648 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 80469242391456 in words is "eighty trillion, four hundred sixty-nine billion, two hundred forty-two million, three hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 269 276 288 368 414 538 552 736 807 828 1076 1104 1614 1656 2152 2208 2421 3228 3312 4304 4842 6187 6456 6624 8608 9684 12374 12912 18561 19368 24748 25824 37122 38736 49496 55683 74244 77472 98992 111366 148488 197984 222732 296976 445464 593952 890928 1781856 45160351 90320702 135481053 180641404 270962106 361282808 406443159 541924212 722565616 812886318 1038688073 1083848424 1445131232 1625772636 2077376146 2167696848 3116064219 3251545272 4154752292 4335393696 6232128438 6503090544 8309504584 9348192657 12148134419 12464256876 13006181088 16619009168 18696385314 24296268838 24928513752 33238018336 36444403257 37392770628 48592537676 49857027504 72888806514 74785541256 97185075352 99714055008 109333209771 145777613028 149571082512 194370150704 218666419542 279407091637 291555226056 299142165024 388740301408 437332839084 558814183274 583110452112 838221274911 874665678168 1117628366548 1166220904224 1676442549822 1749331356336 2235256733096 2514663824733 3352885099644 3498662712672 4470513466192 5029327649466 6705770199288 8941026932384 10058655298932 13411540398576 20117310597864 26823080797152 40234621195728 80469242391456