Search a number
-
+
1125874536192 = 283572585507
BaseRepresentation
bin10000011000100011010…
…110100000111100000000
310222122002010120101200000
4100120203112200330000
5121421242340124232
62221115234400000
7144225135441060
oct20304326407400
93878063511600
101125874536192
113a4531907aaa
12162251130000
1382228560b13
143c6c7a5d3a0
151e44732027c
hex106235a0f00

1125874536192 has 216 divisors, whose sum is σ = 3847318640256. Its totient is φ = 321678314496.

The previous prime is 1125874536161. The next prime is 1125874536197. The reversal of 1125874536192 is 2916354785211.

1125874536192 is a `hidden beast` number, since 1 + 1 + 2 + 587 + 4 + 53 + 6 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×11258745361922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125874536197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857298 + ... + 1728209.

Almost surely, 21125874536192 is an apocalyptic number.

1125874536192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1125874536192 is an abundant number, since it is smaller than the sum of its proper divisors (2721444104064).

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

1125874536192 is an frugal number, since it uses more digits than its factorization.

1125874536192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585545 (or 2585519 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 1125874536192 in words is "one trillion, one hundred twenty-five billion, eight hundred seventy-four million, five hundred thirty-six thousand, one hundred ninety-two".