Search a number
-
+
70810070776384 = 26192232292832
BaseRepresentation
bin10000000110011011000001…
…000111010111101001000000
3100021201101011120200221212011
4100012123001013113221000
533240123011104321014
6410333410351342304
720625600364436122
oct2006330107275100
9307641146627764
1070810070776384
1120620422a36205
127b37571521994
133068490221854
14136b3234d5212
1582bdebec67c4
hex4066c11d7a40

70810070776384 has 567 divisors, whose sum is σ = 162514324922313. Its totient is φ = 30603745041408.

The previous prime is 70810070776381. The next prime is 70810070776429. The reversal of 70810070776384 is 48367707001807.

It is a happy number.

The square root of 70810070776384 is 8414872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37131083486784 + 33678987289600 = 6093528^2 + 5803360^2 .

It is a super-2 number, since 2×708100707763842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (70810070776381) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 853133382807 + ... + 853133382889.

Almost surely, 270810070776384 is an apocalyptic number.

70810070776384 is the 8414872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70810070776384

70810070776384 is an abundant number, since it is smaller than the sum of its proper divisors (91704254145929).

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

70810070776384 is an equidigital number, since it uses as much as digits as its factorization.

70810070776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 58.

The spelling of 70810070776384 in words is "seventy trillion, eight hundred ten billion, seventy million, seven hundred seventy-six thousand, three hundred eighty-four".