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47079915426816 = 2103435317593823
BaseRepresentation
bin10101011010001101001011…
…01000101001010000000000
320011200210111020212022002120
422231012211220221100000
522132324131322124231
6244044114202444240
712626261123164416
oct1255064550512000
9204623436768076
1047079915426816
11140015309843a8
1253444a0503680
13203680365609c
14b8a9741532b6
155699cb280d96
hex2ad1a5a29400

47079915426816 has 352 divisors, whose sum is σ = 130934719365120. Its totient is φ = 15026649071616.

The previous prime is 47079915426811. The next prime is 47079915426851. The reversal of 47079915426816 is 61862451997074.

It is a super-2 number, since 2×470799154268162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47079915426811) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12314911881 + ... + 12314915703.

It is an arithmetic number, because the mean of its divisors is an integer number (371973634560).

Almost surely, 247079915426816 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 47079915426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65467359682560).

47079915426816 is an abundant number, since it is smaller than the sum of its proper divisors (83854803938304).

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

47079915426816 is a wasteful number, since it uses less digits than its factorization.

47079915426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 47079915426816 in words is "forty-seven trillion, seventy-nine billion, nine hundred fifteen million, four hundred twenty-six thousand, eight hundred sixteen".