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83372355440 = 24511199476087
BaseRepresentation
bin100110110100101100…
…0010010111101110000
321222012100210110222022
41031221120102331300
52331221310333230
6102144542531012
76011021220443
oct1155130227560
9258170713868
1083372355440
11323a35806a0
12141a9296a68
137b289cbaca
14406c9cb65a
15227e5b51e5
hex1369612f70

83372355440 has 80 divisors (see below), whose sum is σ = 212525683200. Its totient is φ = 30164808960.

The previous prime is 83372355421. The next prime is 83372355449. The reversal of 83372355440 is 4455327338.

It is a happy number.

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

It is a super-2 number, since 2×833723554402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 83372355391 and 83372355400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83372355449) 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, 62924 + ... + 413163.

It is an arithmetic number, because the mean of its divisors is an integer number (2656571040).

Almost surely, 283372355440 is an apocalyptic number.

83372355440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83372355440 is an abundant number, since it is smaller than the sum of its proper divisors (129153327760).

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

83372355440 is a wasteful number, since it uses less digits than its factorization.

83372355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476310 (or 476304 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 83372355440 in words is "eighty-three billion, three hundred seventy-two million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1592 1990 2189 3184 3980 4378 7960 8756 10945 15920 17512 21890 35024 43780 87560 175120 476087 952174 1904348 2380435 3808696 4760870 5236957 7617392 9521740 10473914 19043480 20947828 26184785 38086960 41895656 52369570 83791312 94741313 104739140 189482626 209478280 378965252 418956560 473706565 757930504 947413130 1042154443 1515861008 1894826260 2084308886 3789652520 4168617772 5210772215 7579305040 8337235544 10421544430 16674471088 20843088860 41686177720 83372355440