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7421456556 = 22321725148313
BaseRepresentation
bin1101110100101101…
…00111000010101100
3201011012210001111100
412322112213002230
5110144343102211
63224231323100
7351624224403
oct67226470254
921135701440
107421456556
113169245178
121531520490
1391371a917
1450590863a
152d681a156
hex1ba5a70ac

7421456556 has 72 divisors (see below), whose sum is σ = 19942859664. Its totient is φ = 2318976000.

The previous prime is 7421456543. The next prime is 7421456611. The reversal of 7421456556 is 6556541247.

7421456556 is a `hidden beast` number, since 7 + 42 + 1 + 4 + 56 + 556 = 666.

It is a super-2 number, since 2×74214565562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129456 + ... + 177768.

It is an arithmetic number, because the mean of its divisors is an integer number (276984162).

Almost surely, 27421456556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7421456556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9971429832).

7421456556 is an abundant number, since it is smaller than the sum of its proper divisors (12521403108).

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

7421456556 is a wasteful number, since it uses less digits than its factorization.

7421456556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48591 (or 48586 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 7421456556 is about 86147.8760968603. The cubic root of 7421456556 is about 1950.5767792823.

The spelling of 7421456556 in words is "seven billion, four hundred twenty-one million, four hundred fifty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 251 306 502 612 753 1004 1506 2259 3012 4267 4518 8534 9036 12801 17068 25602 38403 48313 51204 76806 96626 144939 153612 193252 289878 434817 579756 821321 869634 1642642 1739268 2463963 3285284 4927926 7391889 9855852 12126563 14783778 24253126 29567556 36379689 48506252 72759378 109139067 145518756 206151571 218278134 412303142 436556268 618454713 824606284 1236909426 1855364139 2473818852 3710728278 7421456556