Search a number
-
+
190861995240 = 2332572731031439
BaseRepresentation
bin1011000111000001000…
…0101110110011101000
3200020122111111221112200
42301300100232303220
511111341132321430
6223403014540200
716534511122500
oct2616020566350
9606574457480
10190861995240
1173a42690a54
1230ba7367660
1314cc90aca77
149348624a00
154e710d7460
hex2c7042ece8

190861995240 has 576 divisors, whose sum is σ = 739074585600. Its totient is φ = 42580629504.

The previous prime is 190861995223. The next prime is 190861995271. The reversal of 190861995240 is 42599168091.

190861995240 is a `hidden beast` number, since 19 + 0 + 8 + 619 + 9 + 5 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×1908619952403 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132634441 + ... + 132635879.

It is an arithmetic number, because the mean of its divisors is an integer number (1283115600).

Almost surely, 2190861995240 is an apocalyptic number.

190861995240 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 190861995240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369537292800).

190861995240 is an abundant number, since it is smaller than the sum of its proper divisors (548212590360).

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

190861995240 is a wasteful number, since it uses less digits than its factorization.

190861995240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 190861995240 in words is "one hundred ninety billion, eight hundred sixty-one million, nine hundred ninety-five thousand, two hundred forty".