Search a number
-
+
149027750640 = 243352332771069
BaseRepresentation
bin1000101011001010111…
…1110000001011110000
3112020200000000010111000
42022302233300023300
54420202101010030
6152243513522000
713524021660006
oct2126257601360
9466600003430
10149027750640
115822530988a
1224a71113300
131109000a492
1472da5c8a76
153d23580860
hex22b2bf02f0

149027750640 has 320 divisors, whose sum is σ = 517865961600. Its totient is φ = 39390437376.

The previous prime is 149027750633. The next prime is 149027750653. The reversal of 149027750640 is 46057720941.

149027750640 is a `hidden beast` number, since 1 + 490 + 2 + 77 + 50 + 6 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 139408026 + ... + 139409094.

It is an arithmetic number, because the mean of its divisors is an integer number (1618331130).

Almost surely, 2149027750640 is an apocalyptic number.

149027750640 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 149027750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258932980800).

149027750640 is an abundant number, since it is smaller than the sum of its proper divisors (368838210960).

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

149027750640 is a wasteful number, since it uses less digits than its factorization.

149027750640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 149027750640 in words is "one hundred forty-nine billion, twenty-seven million, seven hundred fifty thousand, six hundred forty".