Search a number
-
+
21497637401280 = 263451232967271
BaseRepresentation
bin1001110001101010011110…
…00010100111001011000000
32211010011011022110012020000
410320311033002213023000
510304204130133320110
6113415513413120000
74346103331626345
oct470651702471300
984104138405200
1021497637401280
116939107963aa7
1224b2477329000
13bcc2ac0a8421
145446c3c027cc
15274309ae61c0
hex138d4f0a72c0

21497637401280 has 280 divisors, whose sum is σ = 76478217599520. Its totient is φ = 5732153118720.

The previous prime is 21497637401213. The next prime is 21497637401293. The reversal of 21497637401280 is 8210473679412.

21497637401280 is a `hidden beast` number, since 2 + 1 + 497 + 6 + 3 + 74 + 0 + 1 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319534045 + ... + 319601315.

Almost surely, 221497637401280 is an apocalyptic number.

21497637401280 is a gapful number since it is divisible by the number (20) 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 21497637401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38239108799760).

21497637401280 is an abundant number, since it is smaller than the sum of its proper divisors (54980580198240).

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

21497637401280 is a wasteful number, since it uses less digits than its factorization.

21497637401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79629 (or 79610 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21497637401280 in words is "twenty-one trillion, four hundred ninety-seven billion, six hundred thirty-seven million, four hundred one thousand, two hundred eighty".