Search a number
-
+
1203272681490 = 23751117319491
BaseRepresentation
bin10001100000101000101…
…001000000100000010010
311021000212010211120000000
4101200220221000200102
5124203300301301430
62320435325310430
7152635135015335
oct21405051004022
94230763746000
101203272681490
1142433a072140
12175251705416
1389611623729
144234b03261c
1521477193e60
hex11828a40812

1203272681490 has 512 divisors, whose sum is σ = 3873537884160. Its totient is φ = 265659264000.

The previous prime is 1203272681449. The next prime is 1203272681519. The reversal of 1203272681490 is 941862723021.

1203272681490 is a `hidden beast` number, since 1 + 2 + 0 + 32 + 72 + 68 + 1 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126775645 + ... + 126785135.

It is an arithmetic number, because the mean of its divisors is an integer number (7565503680).

Almost surely, 21203272681490 is an apocalyptic number.

1203272681490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203272681490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936768942080).

1203272681490 is an abundant number, since it is smaller than the sum of its proper divisors (2670265202670).

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

1203272681490 is a wasteful number, since it uses less digits than its factorization.

1203272681490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1203272681490 in words is "one trillion, two hundred three billion, two hundred seventy-two million, six hundred eighty-one thousand, four hundred ninety".