Search a number
-
+
60978641882976 = 25346789297457
BaseRepresentation
bin11011101110101101100100…
…10010011100111101100000
321222220111112101202011220000
431313112302102130331200
530443033224310223401
6333405111254220000
715562363406614626
oct1567266222347540
9258814471664800
1060978641882976
111847a9956a6614
126a0a09b954600
132804351c9655c
14110b54c369516
1570b2db22d186
hex3775b249cf60

60978641882976 has 720 divisors, whose sum is σ = 186385926955536. Its totient is φ = 19550885511168.

The previous prime is 60978641882923. The next prime is 60978641882989. The reversal of 60978641882976 is 67928814687906.

60978641882976 is a `hidden beast` number, since 6 + 0 + 97 + 8 + 64 + 188 + 297 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 60978641882895 and 60978641882904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133432476540 + ... + 133432476996.

Almost surely, 260978641882976 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 60978641882976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93192963477768).

60978641882976 is an abundant number, since it is smaller than the sum of its proper divisors (125407285072560).

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

60978641882976 is an equidigital number, since it uses as much as digits as its factorization.

60978641882976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 60978641882976 in words is "sixty trillion, nine hundred seventy-eight billion, six hundred forty-one million, eight hundred eighty-two thousand, nine hundred seventy-six".