Search a number
-
+
70021905030 = 233572112173183
BaseRepresentation
bin100000100110110100…
…0010111101010000110
320200201221120022221000
41001031220113222012
52121401101430110
652100112234130
75026131241500
oct1011550275206
9220657508830
1070021905030
11277725a3700
12116a223b946
1367abb46bcc
1435638b8d70
151c4c4db1c0
hex104da17a86

70021905030 has 1152 divisors, whose sum is σ = 264095354880. Its totient is φ = 13092710400.

The previous prime is 70021904993. The next prime is 70021905043. The reversal of 70021905030 is 3050912007.

70021905030 is a `hidden beast` number, since 70 + 0 + 2 + 1 + 90 + 503 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 70021904985 and 70021905003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 843637369 + ... + 843637451.

It is an arithmetic number, because the mean of its divisors is an integer number (229249440).

Almost surely, 270021905030 is an apocalyptic number.

70021905030 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 70021905030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132047677440).

70021905030 is an abundant number, since it is smaller than the sum of its proper divisors (194073449850).

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

70021905030 is a wasteful number, since it uses less digits than its factorization.

70021905030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 70021905030 in words is "seventy billion, twenty-one million, nine hundred five thousand, thirty".