Search a number
-
+
70843368960 = 2933572131609
BaseRepresentation
bin100000111111010011…
…0000000011000000000
320202212012022000121000
41001332212000120000
52130041400301320
652313415132000
75055364462200
oct1017646003000
9222765260530
1070843368960
1128054264711
1211891374000
1368b00a3640
143600a30400
151c996a2c90
hex107e980600

70843368960 has 960 divisors, whose sum is σ = 315439185600. Its totient is φ = 14937882624.

The previous prime is 70843368943. The next prime is 70843368961. The reversal of 70843368960 is 6986334807.

70843368960 is a `hidden beast` number, since 70 + 8 + 433 + 6 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×708433689604 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70843368897 and 70843368906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70843368961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44028636 + ... + 44030244.

It is an arithmetic number, because the mean of its divisors is an integer number (328582485).

Almost surely, 270843368960 is an apocalyptic number.

70843368960 is a gapful number since it is divisible by the number (70) 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 70843368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157719592800).

70843368960 is an abundant number, since it is smaller than the sum of its proper divisors (244595816640).

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

70843368960 is a wasteful number, since it uses less digits than its factorization.

70843368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 70843368960 in words is "seventy billion, eight hundred forty-three million, three hundred sixty-eight thousand, nine hundred sixty".