Search a number
-
+
70242869354112 = 273571367370399
BaseRepresentation
bin11111111100010101100010…
…10001101001111010000000
3100012201011010100011021200000
433332022301101221322000
533201324344023312422
6405221043444400000
720536610533052520
oct1776126121517200
9305634110137600
1070242869354112
11204219195825a4
127a656569a6000
133026b496a91b0
14134bab722d680
1581c2a17dacac
hex3fe2b1469e80

70242869354112 has 768 divisors, whose sum is σ = 261842101248000. Its totient is φ = 18249041276928.

The previous prime is 70242869354041. The next prime is 70242869354129. The reversal of 70242869354112 is 21145396824207.

It is a happy number.

70242869354112 is a `hidden beast` number, since 7 + 0 + 2 + 4 + 2 + 8 + 6 + 93 + 541 + 1 + 2 = 666.

70242869354112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189455889 + ... + 189826287.

It is an arithmetic number, because the mean of its divisors is an integer number (340940236000).

It is a 1-persistent number, because it is pandigital, but 2⋅70242869354112 = 140485738708224 is not.

Almost surely, 270242869354112 is an apocalyptic number.

70242869354112 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 70242869354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130921050624000).

70242869354112 is an abundant number, since it is smaller than the sum of its proper divisors (191599231893888).

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

70242869354112 is a wasteful number, since it uses less digits than its factorization.

70242869354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370515 (or 370491 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 70242869354112 in words is "seventy trillion, two hundred forty-two billion, eight hundred sixty-nine million, three hundred fifty-four thousand, one hundred twelve".