Search a number
-
+
70689662005248 = 2123411213197129
BaseRepresentation
bin10000000100101010111000…
…001100010111000000000000
3100021021212101002100121210000
4100010222320030113000000
533231134411433131443
6410202214333440000
720614105502661126
oct2004527014270000
9307255332317700
1070689662005248
1120584354365300
127b18168940000
13305a011444790
14136557db83916
15828c011c88d3
hex404ab8317000

70689662005248 has 1560 divisors, whose sum is σ = 263160982053200. Its totient is φ = 18730002677760.

The previous prime is 70689662005223. The next prime is 70689662005253. The reversal of 70689662005248 is 84250026698607.

70689662005248 is a `hidden beast` number, since 7 + 0 + 6 + 89 + 6 + 6 + 20 + 0 + 524 + 8 = 666.

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, 9915785748 + ... + 9915792876.

Almost surely, 270689662005248 is an apocalyptic number.

70689662005248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70689662005248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131580491026600).

70689662005248 is an abundant number, since it is smaller than the sum of its proper divisors (192471320047952).

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

70689662005248 is a wasteful number, since it uses less digits than its factorization.

70689662005248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7219 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 70689662005248 in words is "seventy trillion, six hundred eighty-nine billion, six hundred sixty-two million, five thousand, two hundred forty-eight".