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247421416392 = 23323436408561
BaseRepresentation
bin1110011001101101110…
…1110011001111001000
3212122122020001020101200
43212123131303033020
513023204340311032
6305355215344200
723606222224203
oct3463335631710
9778566036350
10247421416392
1195a26a37217
123bb50b22060
131a440aa6c87
14bd9218693a
15668176947c
hex399b7733c8

247421416392 has 24 divisors (see below), whose sum is σ = 670099669590. Its totient is φ = 82473805440.

The previous prime is 247421416381. The next prime is 247421416397. The reversal of 247421416392 is 293614124742.

247421416392 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 2 + 1 + 4 + 1 + 639 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179391214116 + 68030202276 = 423546^2 + 260826^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2474214163922 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (247421416397) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1718204209 + ... + 1718204352.

Almost surely, 2247421416392 is an apocalyptic number.

It is an amenable number.

247421416392 is an abundant number, since it is smaller than the sum of its proper divisors (422678253198).

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

247421416392 is a wasteful number, since it uses less digits than its factorization.

247421416392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436408573 (or 3436408566 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 247421416392 in words is "two hundred forty-seven billion, four hundred twenty-one million, four hundred sixteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3436408561 6872817122 10309225683 13745634244 20618451366 27491268488 30927677049 41236902732 61855354098 82473805464 123710708196 247421416392