Search a number
-
+
36693414912 = 2103711612543
BaseRepresentation
bin100010001011000110…
…010001010000000000
310111201020010121111010
4202023012101100000
51100122003234122
624505015120520
72436203611020
oct421306212000
9114636117433
1036693414912
111461a5267a0
127140673140
1335ca005b3b
141ac1399a80
15e4b582e0c
hex88b191400

36693414912 has 352 divisors, whose sum is σ = 123981778944. Its totient is φ = 9370828800.

The previous prime is 36693414893. The next prime is 36693414913. The reversal of 36693414912 is 21941439663.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36693414913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14427913 + ... + 14430455.

Almost surely, 236693414912 is an apocalyptic number.

36693414912 is a gapful number since it is divisible by the number (32) 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 36693414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61990889472).

36693414912 is an abundant number, since it is smaller than the sum of its proper divisors (87288364032).

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

36693414912 is a wasteful number, since it uses less digits than its factorization.

36693414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2627 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The spelling of 36693414912 in words is "thirty-six billion, six hundred ninety-three million, four hundred fourteen thousand, nine hundred twelve".