Search a number
-
+
84215155949496 = 2332112131913893101
BaseRepresentation
bin10011001001011111011110…
…011101000111111110111000
3102001011220001000102102020100
4103021133132131013332320
542014240114410340441
6455035524125155400
723511226033406235
oct2311373635077670
9361156030372210
1084215155949496
11249194a105a100
1295415653bbb60
1337cb5bbbc8a70
1416b206cbd278c
159b09696d4cb6
hex4c97de747fb8

84215155949496 has 288 divisors, whose sum is σ = 271400909794560. Its totient is φ = 23433347520000.

The previous prime is 84215155949479. The next prime is 84215155949549. The reversal of 84215155949496 is 69494955151248.

84215155949496 is a `hidden beast` number, since 8 + 4 + 2 + 15 + 15 + 594 + 9 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19685346 + ... + 23578446.

It is an arithmetic number, because the mean of its divisors is an integer number (942364270120).

Almost surely, 284215155949496 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 84215155949496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135700454897280).

84215155949496 is an abundant number, since it is smaller than the sum of its proper divisors (187185753845064).

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

84215155949496 is a wasteful number, since it uses less digits than its factorization.

84215155949496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893339 (or 3893321 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 72.

The spelling of 84215155949496 in words is "eighty-four trillion, two hundred fifteen billion, one hundred fifty-five million, nine hundred forty-nine thousand, four hundred ninety-six".