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80546173440 = 293510919613
BaseRepresentation
bin100101100000011101…
…1010001001000000000
321200220101211120002220
41023000323101020000
52304424310022230
6101000304011040
75551003114665
oct1130073211000
9250811746086
1080546173440
1131183240297
121373a900a80
137798335675
143c8150da6c
152166407d10
hex12c0ed1200

80546173440 has 160 divisors (see below), whose sum is σ = 257758877376. Its totient is φ = 21457059840.

The previous prime is 80546173439. The next prime is 80546173441. The reversal of 80546173440 is 4437164508.

It is an interprime number because it is at equal distance from previous prime (80546173439) and next prime (80546173441).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×805461734402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80546173392 and 80546173401.

It is not an unprimeable number, because it can be changed into a prime (80546173441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8374074 + ... + 8383686.

Almost surely, 280546173440 is an apocalyptic number.

80546173440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80546173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128879438688).

80546173440 is an abundant number, since it is smaller than the sum of its proper divisors (177212703936).

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

80546173440 is a wasteful number, since it uses less digits than its factorization.

80546173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 80546173440 in words is "eighty billion, five hundred forty-six million, one hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1091 1280 1536 1920 2182 2560 3273 3840 4364 5455 6546 7680 8728 9613 10910 13092 16365 17456 19226 21820 26184 28839 32730 34912 38452 43640 48065 52368 57678 65460 69824 76904 87280 96130 104736 115356 130920 139648 144195 153808 174560 192260 209472 230712 261840 279296 288390 307616 349120 384520 418944 461424 523680 558592 576780 615232 698240 769040 837888 922848 1047360 1153560 1230464 1396480 1538080 1675776 1845696 2094720 2307120 2460928 2792960 3076160 3691392 4189440 4614240 4921856 6152320 7382784 8378880 9228480 10487783 12304640 14765568 18456960 20975566 24609280 31463349 36913920 41951132 52438915 62926698 73827840 83902264 104877830 125853396 157316745 167804528 209755660 251706792 314633490 335609056 419511320 503413584 629266980 671218112 839022640 1006827168 1258533960 1342436224 1678045280 2013654336 2517067920 2684872448 3356090560 4027308672 5034135840 5369744896 6712181120 8054617344 10068271680 13424362240 16109234688 20136543360 26848724480 40273086720 80546173440