Search a number
-
+
100489226282928 = 24347411072524927
BaseRepresentation
bin10110110110010011111000…
…101000101110011110110000
3111011210200020221212201010000
4112312103320220232132300
5101132403413412023203
6553420040243510000
730111051464011020
oct2666237050563660
9434720227781100
10100489226282928
112a02327254056a
12b32b59a688300
13440c12a1c67b2
141ab59c1229a80
15b93e4e6604a3
hex5b64f8a2e7b0

100489226282928 has 400 divisors, whose sum is σ = 343683826827264. Its totient is φ = 27749138734080.

The previous prime is 100489226282927. The next prime is 100489226282959. The reversal of 100489226282928 is 829282622984001.

100489226282928 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 89 + 2 + 262 + 8 + 292 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100489226282927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38536401 + ... + 41061327.

Almost surely, 2100489226282928 is an apocalyptic number.

100489226282928 is a gapful number since it is divisible by the number (18) 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 100489226282928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171841913413632).

100489226282928 is an abundant number, since it is smaller than the sum of its proper divisors (243194600544336).

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

100489226282928 is a wasteful number, since it uses less digits than its factorization.

100489226282928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525102 (or 2525087 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 100489226282928 in words is "one hundred trillion, four hundred eighty-nine billion, two hundred twenty-six million, two hundred eighty-two thousand, nine hundred twenty-eight".