Search a number
-
+
104742607500 = 2232546769481
BaseRepresentation
bin110000110001100100…
…1010101101010001100
3101000100200200202200100
41201203021111222030
53204003101420000
6120041301331100
710365422321346
oct1414311255214
9330320622610
10104742607500
114046a520333
1218372106a90
139b5323ab7b
1450d8c80296
152ad079ba00
hex1863255a8c

104742607500 has 180 divisors, whose sum is σ = 335794555096. Its totient is φ = 27514080000.

The previous prime is 104742607483. The next prime is 104742607517. The reversal of 104742607500 is 5706247401.

104742607500 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 42 + 607 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104742607483) and next prime (104742607517).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1472760 + ... + 1542240.

Almost surely, 2104742607500 is an apocalyptic number.

104742607500 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 104742607500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167897277548).

104742607500 is an abundant number, since it is smaller than the sum of its proper divisors (231051947596).

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

104742607500 is a wasteful number, since it uses less digits than its factorization.

104742607500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69578 (or 69558 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 104742607500 in words is "one hundred four billion, seven hundred forty-two million, six hundred seven thousand, five hundred".