Search a number
-
+
70344392012280 = 233253171753711779
BaseRepresentation
bin11111111111010010101000…
…11111110111000111111000
3100020001212011121221200020200
433333221110133313013320
533210010303323343110
6405335433443322200
720550133416315621
oct1777512437670770
9306055147850220
1070344392012280
1120460986464281
127a8126a680360
1330335a87b21a9
1413529885b0a48
1581ec445486c0
hex3ffa547f71f8

70344392012280 has 384 divisors, whose sum is σ = 239370022195200. Its totient is φ = 17893816012800.

The previous prime is 70344392012267. The next prime is 70344392012299. The reversal of 70344392012280 is 8221029344307.

70344392012280 is a `hidden beast` number, since 7 + 0 + 3 + 4 + 439 + 201 + 2 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5972011431 + ... + 5972023209.

It is an arithmetic number, because the mean of its divisors is an integer number (623359432800).

Almost surely, 270344392012280 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 70344392012280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119685011097600).

70344392012280 is an abundant number, since it is smaller than the sum of its proper divisors (169025630182920).

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

70344392012280 is a wasteful number, since it uses less digits than its factorization.

70344392012280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19435 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 70344392012280 in words is "seventy trillion, three hundred forty-four billion, three hundred ninety-two million, twelve thousand, two hundred eighty".