Search a number
-
+
155736000000 = 2933567103
BaseRepresentation
bin1001000100001010010…
…1101100011000000000
3112212222111202111122000
42101002211230120000
510022421404000000
6155313310544000
714152166105220
oct2210245543000
9485874674560
10155736000000
1160057a03919
1226223808000
13118bba433b9
1477754bc080
1540b746a000
hex244296c600

155736000000 has 1120 divisors, whose sum is σ = 664941488640. Its totient is φ = 35251200000.

The previous prime is 155735999983. The next prime is 155736000023. The reversal of 155736000000 is 637551.

155736000000 is a `hidden beast` number, since 1 + 5 + 57 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1511999949 + ... + 1512000051.

Almost surely, 2155736000000 is an apocalyptic number.

155736000000 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 155736000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332470744320).

155736000000 is an abundant number, since it is smaller than the sum of its proper divisors (509205488640).

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

155736000000 is an frugal number, since it uses more digits than its factorization.

155736000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 155736000000 its reverse (637551), we get a palindrome (155736637551).

The spelling of 155736000000 in words is "one hundred fifty-five billion, seven hundred thirty-six million", and thus it is an aban number.