Search a number
-
+
149995502496 = 253274216917
BaseRepresentation
bin1000101110110001101…
…1011011101110100000
3112100011110000000110100
42023230123123232200
54424142322034441
6152523524102400
713560012510000
oct2135433335640
9470143000410
10149995502496
1158681607104
12250a1234a00
13111b5666308
14738cd40000
153d7d4e1cb6
hex22ec6dbba0

149995502496 has 180 divisors, whose sum is σ = 497614013442. Its totient is φ = 42855660288.

The previous prime is 149995502491. The next prime is 149995502509. The reversal of 149995502496 is 694205599941.

149995502496 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 95 + 50 + 2 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125715630096 + 24279872400 = 354564^2 + 155820^2 .

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 (149995502491) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 583030 + ... + 799946.

Almost surely, 2149995502496 is an apocalyptic number.

149995502496 is a gapful number since it is divisible by the number (16) 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 149995502496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248807006721).

149995502496 is an abundant number, since it is smaller than the sum of its proper divisors (347618510946).

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

149995502496 is an equidigital number, since it uses as much as digits as its factorization.

149995502496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216961 (or 216929 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 149995502496 in words is "one hundred forty-nine billion, nine hundred ninety-five million, five hundred two thousand, four hundred ninety-six".