Search a number
-
+
149709561672 = 233113831480631
BaseRepresentation
bin1000101101101101100…
…0101001111101001000
3112022102111221201101110
42023123120221331020
54423101121433142
6152435311250320
713546641164166
oct2133330517510
9468374851343
10149709561672
1158545165580
12250215199a0
131116b34b868
147362d8a236
153d6335d99c
hex22db629f48

149709561672 has 64 divisors (see below), whose sum is σ = 409365135360. Its totient is φ = 45248052800.

The previous prime is 149709561637. The next prime is 149709561707. The reversal of 149709561672 is 276165907941.

It is a happy number.

149709561672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149709561637) and next prime (149709561707).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639204 + ... + 841427.

It is an arithmetic number, because the mean of its divisors is an integer number (6396330240).

Almost surely, 2149709561672 is an apocalyptic number.

149709561672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149709561672 is an abundant number, since it is smaller than the sum of its proper divisors (259655573688).

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

149709561672 is a wasteful number, since it uses less digits than its factorization.

149709561672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481034 (or 1481030 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 149709561672 in words is "one hundred forty-nine billion, seven hundred nine million, five hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 383 766 1149 1532 2298 3064 4213 4596 8426 9192 12639 16852 25278 33704 50556 101112 1480631 2961262 4441893 5922524 8883786 11845048 16286941 17767572 32573882 35535144 48860823 65147764 97721646 130295528 195443292 390886584 567081673 1134163346 1701245019 2268326692 3402490038 4536653384 6237898403 6804980076 12475796806 13609960152 18713695209 24951593612 37427390418 49903187224 74854780836 149709561672