Search a number
-
+
628870070691000 = 2332531992383147347
BaseRepresentation
bin1000111011111101000011100…
…1001011000110010010111000
310001110122101120111020201220200
42032333100321023012102320
51124411401401044103000
610105254531105122200
7246314235412205235
oct21677207113062270
93043571514221820
10628870070691000
11172417332329196
125a647296329360
1320cb92686299c8
14b14168c26878c
154ca8548bd2500
hex23bf4392c64b8

628870070691000 has 384 divisors, whose sum is σ = 2137173113088000. Its totient is φ = 166784827334400.

The previous prime is 628870070690989. The next prime is 628870070691011. The reversal of 628870070691000 is 196070078826.

628870070691000 is a `hidden beast` number, since 628 + 8 + 7 + 0 + 0 + 7 + 0 + 6 + 9 + 1 + 0 + 0 + 0 = 666.

628870070691000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (628870070690989) and next prime (628870070691011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4267879327 + ... + 4268026673.

It is an arithmetic number, because the mean of its divisors is an integer number (5565554982000).

Almost surely, 2628870070691000 is an apocalyptic number.

628870070691000 is a gapful number since it is divisible by the number (60) 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 628870070691000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068586556544000).

628870070691000 is an abundant number, since it is smaller than the sum of its proper divisors (1508303042397000).

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

628870070691000 is a wasteful number, since it uses less digits than its factorization.

628870070691000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149956 (or 149939 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 628870070691000 in words is "six hundred twenty-eight trillion, eight hundred seventy billion, seventy million, six hundred ninety-one thousand".