Search a number
-
+
70992433512 = 23327111323113379
BaseRepresentation
bin100001000011101111…
…0101001000101101000
320210020120210021201100
41002013132221011220
52130343030333022
652340302121400
75062154504550
oct1020736510550
9223216707640
1070992433512
1128120418060
1211913280260
136904c35810
143616754160
151ca77ea1ac
hex10877a9168

70992433512 has 768 divisors, whose sum is σ = 272479334400. Its totient is φ = 16094453760.

The previous prime is 70992433507. The next prime is 70992433543. The reversal of 70992433512 is 21533429907.

70992433512 is a `hidden beast` number, since 7 + 0 + 9 + 92 + 43 + 3 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187314939 + ... + 187315317.

It is an arithmetic number, because the mean of its divisors is an integer number (354790800).

Almost surely, 270992433512 is an apocalyptic number.

70992433512 is a gapful number since it is divisible by the number (72) 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 70992433512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136239667200).

70992433512 is an abundant number, since it is smaller than the sum of its proper divisors (201486900888).

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

70992433512 is a wasteful number, since it uses less digits than its factorization.

70992433512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 70992433512 in words is "seventy billion, nine hundred ninety-two million, four hundred thirty-three thousand, five hundred twelve".