Search a number
-
+
104499642240 = 2736573653
BaseRepresentation
bin110000101010010101…
…0011111111110000000
3100222201202111212000000
41201110222133332000
53203003402022430
6120001222000000
710356412206000
oct1412452377600
9328652455000
10104499642240
11403553619a4
1218304876000
139b14abc446
1450b48b6000
152ab92a6e60
hex1854a9ff80

104499642240 has 896 divisors, whose sum is σ = 437471064000. Its totient is φ = 23849054208.

The previous prime is 104499642179. The next prime is 104499642257. The reversal of 104499642240 is 42246994401.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160029754 + ... + 160030406.

Almost surely, 2104499642240 is an apocalyptic number.

104499642240 is a gapful number since it is divisible by the number (10) 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 104499642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218735532000).

104499642240 is an abundant number, since it is smaller than the sum of its proper divisors (332971421760).

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

104499642240 is an frugal number, since it uses more digits than its factorization.

104499642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 104499642240 in words is "one hundred four billion, four hundred ninety-nine million, six hundred forty-two thousand, two hundred forty".