Search a number
-
+
12375411552 = 253378389277
BaseRepresentation
bin10111000011010000…
…11100101101100000
31011221110112001012000
423201220130231200
5200321101132202
65404000004000
7615450156030
oct134150345540
934843461160
1012375411552
115280662959
122494600600
131222b7733a
148558218c0
154c66c891c
hex2e1a1cb60

12375411552 has 384 divisors, whose sum is σ = 42369868800. Its totient is φ = 3441512448.

The previous prime is 12375411547. The next prime is 12375411557. The reversal of 12375411552 is 25511457321.

12375411552 is a `hidden beast` number, since 1 + 23 + 75 + 4 + 11 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (12375411547) and next prime (12375411557).

It is a super-2 number, since 2×123754115522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12375411557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44676438 + ... + 44676714.

It is an arithmetic number, because the mean of its divisors is an integer number (110338200).

Almost surely, 212375411552 is an apocalyptic number.

12375411552 is a gapful number since it is divisible by the number (12) 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 12375411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21184934400).

12375411552 is an abundant number, since it is smaller than the sum of its proper divisors (29994457248).

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

12375411552 is a wasteful number, since it uses less digits than its factorization.

12375411552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

Adding to 12375411552 its reverse (25511457321), we get a palindrome (37886868873).

The spelling of 12375411552 in words is "twelve billion, three hundred seventy-five million, four hundred eleven thousand, five hundred fifty-two".