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7242126864 = 243721553949
BaseRepresentation
bin1101011111010101…
…00001011000010000
3200200201100011101220
412233222201120100
5104312441024424
63154343525040
7344316030330
oct65752413020
920621304356
107242126864
113086aa0115
1214a1459780
138b551cb8b
144c9b870c0
152c5be5579
hex1afaa1610

7242126864 has 40 divisors (see below), whose sum is σ = 21381518400. Its totient is φ = 2069179008.

The previous prime is 7242126821. The next prime is 7242126889. The reversal of 7242126864 is 4686212427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10776639 + ... + 10777310.

It is an arithmetic number, because the mean of its divisors is an integer number (534537960).

Almost surely, 27242126864 is an apocalyptic number.

It is an amenable number.

7242126864 is an abundant number, since it is smaller than the sum of its proper divisors (14139391536).

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

7242126864 is a wasteful number, since it uses less digits than its factorization.

7242126864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21553967 (or 21553961 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 7242126864 is about 85100.6866247271. The cubic root of 7242126864 is about 1934.7374702755.

The spelling of 7242126864 in words is "seven billion, two hundred forty-two million, one hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 21553949 43107898 64661847 86215796 129323694 150877643 172431592 258647388 301755286 344863184 452632929 517294776 603510572 905265858 1034589552 1207021144 1810531716 2414042288 3621063432 7242126864