Search a number
-
+
13832697618432 = 213347112379149
BaseRepresentation
bin1100100101001010110100…
…0001110010000000000000
31210222101121110222101110000
43021102231001302000000
53303113331042242212
645230353100240000
72625244066516140
oct311225501620000
953871543871400
1013832697618432
114453461208140
121674a52540000
13794557b5b5b4
1435b712ba8920
1518ec483171dc
hexc94ad072000

13832697618432 has 2240 divisors, whose sum is σ = 54807819264000. Its totient is φ = 3370419486720.

The previous prime is 13832697618431. The next prime is 13832697618437. The reversal of 13832697618432 is 23481679623831.

It is a happy number.

13832697618432 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 2 + 6 + 9 + 7 + 618 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×138326976184322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13832697618432.

It is not an unprimeable number, because it can be changed into a prime (13832697618431) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92836896694 + ... + 92836896842.

Almost surely, 213832697618432 is an apocalyptic number.

13832697618432 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 13832697618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403909632000).

13832697618432 is an abundant number, since it is smaller than the sum of its proper divisors (40975121645568).

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

13832697618432 is a wasteful number, since it uses less digits than its factorization.

13832697618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 13832697618432 in words is "thirteen trillion, eight hundred thirty-two billion, six hundred ninety-seven million, six hundred eighteen thousand, four hundred thirty-two".