Search a number
-
+
1901233359540 = 22325192328038623
BaseRepresentation
bin11011101010101010010…
…101101100101010110100
320201202102012222122221100
4123222222111230222310
5222122211220001130
64013225313050100
7254234222624664
oct33525225545264
96652365878840
101901233359540
11673343736a99
1226857b256930
1310a393429298
146803d5641a4
15346c71bcc60
hex1baaa56cab4

1901233359540 has 288 divisors, whose sum is σ = 6337538887680. Its totient is φ = 459211306752.

The previous prime is 1901233359533. The next prime is 1901233359547. The reversal of 1901233359540 is 459533321091.

1901233359540 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 23 + 33 + 59 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1901233359533) and next prime (1901233359547).

It is a super-2 number, since 2×19012333595402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901233359547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220479669 + ... + 220488291.

It is an arithmetic number, because the mean of its divisors is an integer number (22005343360).

Almost surely, 21901233359540 is an apocalyptic number.

1901233359540 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 1901233359540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168769443840).

1901233359540 is an abundant number, since it is smaller than the sum of its proper divisors (4436305528140).

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

1901233359540 is a wasteful number, since it uses less digits than its factorization.

1901233359540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 1901233359540 in words is "one trillion, nine hundred one billion, two hundred thirty-three million, three hundred fifty-nine thousand, five hundred forty".