Search a number
-
+
1019974670520 = 2335132593112741
BaseRepresentation
bin11101101011110110011…
…10100101100010111000
310121111201210021211012220
432311323032211202320
5113202402003424040
62100323033004040
7133455631436031
oct16657316454270
93544653254186
101019974670520
11363629124563
12145817553620
137524c645300
143751d217a88
151b7ea17c2d0
hexed7b3a58b8

1019974670520 has 384 divisors, whose sum is σ = 3381636211200. Its totient is φ = 245931878400.

The previous prime is 1019974670513. The next prime is 1019974670587. The reversal of 1019974670520 is 250764799101.

It is a super-3 number, since 3×10199746705203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 372116350 + ... + 372119090.

It is an arithmetic number, because the mean of its divisors is an integer number (8806344300).

Almost surely, 21019974670520 is an apocalyptic number.

1019974670520 is a gapful number since it is divisible by the number (10) 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 1019974670520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690818105600).

1019974670520 is an abundant number, since it is smaller than the sum of its proper divisors (2361661540680).

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

1019974670520 is a wasteful number, since it uses less digits than its factorization.

1019974670520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 1019974670520 in words is "one trillion, nineteen billion, nine hundred seventy-four million, six hundred seventy thousand, five hundred twenty".