Search a number
-
+
70210312704 = 29357194243
BaseRepresentation
bin100000101100011011…
…1000101101000000000
320201020002002102200000
41001120313011220000
52122242320001304
652130522400000
75033606545140
oct1013067055000
9221202072600
1070210312704
1127859989124
1211735360000
13680bba293c
143580920920
151c5dd05939
hex1058dc5a00

70210312704 has 480 divisors, whose sum is σ = 252855482880. Its totient is φ = 18999816192.

The previous prime is 70210312687. The next prime is 70210312721. The reversal of 70210312704 is 40721301207.

It is a happy number.

70210312704 is a `hidden beast` number, since 70 + 210 + 312 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (70210312687) and next prime (70210312721).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16545207 + ... + 16549449.

It is an arithmetic number, because the mean of its divisors is an integer number (526782256).

Almost surely, 270210312704 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 70210312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126427741440).

70210312704 is an abundant number, since it is smaller than the sum of its proper divisors (182645170176).

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

70210312704 is an equidigital number, since it uses as much as digits as its factorization.

70210312704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 70210312704 in words is "seventy billion, two hundred ten million, three hundred twelve thousand, seven hundred four".