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72427320042 = 23711156769091
BaseRepresentation
bin100001101110100000…
…0010011001011101010
320220221120210001222220
41003131000103023222
52141312343220132
653134520454510
75142550030320
oct1033500231352
9226846701886
1072427320042
11287973745a0
121205391a436
136aa32aa4bc
143711147d10
151d3d781a2c
hex10dd0132ea

72427320042 has 32 divisors (see below), whose sum is σ = 180597993984. Its totient is φ = 18812290800.

The previous prime is 72427319977. The next prime is 72427320101. The reversal of 72427320042 is 24002372427.

It is a super-3 number, since 3×724273200423 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72427319985 and 72427320012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78384084 + ... + 78385007.

It is an arithmetic number, because the mean of its divisors is an integer number (5643687312).

Almost surely, 272427320042 is an apocalyptic number.

72427320042 is an abundant number, since it is smaller than the sum of its proper divisors (108170673942).

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

72427320042 is a wasteful number, since it uses less digits than its factorization.

72427320042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156769114.

The product of its (nonzero) digits is 37632, while the sum is 33.

Adding to 72427320042 its reverse (24002372427), we get a palindrome (96429692469).

The spelling of 72427320042 in words is "seventy-two billion, four hundred twenty-seven million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 156769091 313538182 470307273 940614546 1097383637 1724460001 2194767274 3292150911 3448920002 5173380003 6584301822 10346760006 12071220007 24142440014 36213660021 72427320042