Search a number
-
+
70258128192 = 2633731187367
BaseRepresentation
bin100000101101110110…
…1011111010101000000
320201100102001201012000
41001123231133111000
52122342040100232
652135351304000
75035030143660
oct1013355372500
9221312051160
1070258128192
112788397765a
121174937b000
136818a74925
14358700a1a0
151c630ed27c
hex105bb5f540

70258128192 has 224 divisors, whose sum is σ = 243668336640. Its totient is φ = 19426106880.

The previous prime is 70258128133. The next prime is 70258128253. The reversal of 70258128192 is 29182185207.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281293 + ... + 468659.

Almost surely, 270258128192 is an apocalyptic number.

70258128192 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 70258128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121834168320).

70258128192 is an abundant number, since it is smaller than the sum of its proper divisors (173410208448).

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

70258128192 is a wasteful number, since it uses less digits than its factorization.

70258128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187426 (or 187410 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 70258128192 in words is "seventy billion, two hundred fifty-eight million, one hundred twenty-eight thousand, one hundred ninety-two".