Search a number
-
+
149741887680 = 2635571189281
BaseRepresentation
bin1000101101110101001…
…1111110000011000000
3112022111202210001100000
42023131103332003000
54423132410401210
6152442424200000
713550513021130
oct2133523760300
9468452701300
10149741887680
1158561434590
1225030309000
1311174c59488
1473673a2ac0
153d660e6ac0
hex22dd4fe0c0

149741887680 has 1344 divisors, whose sum is σ = 675801584640. Its totient is φ = 30656102400.

The previous prime is 149741887667. The next prime is 149741887681. The reversal of 149741887680 is 86788147941.

149741887680 is a `hidden beast` number, since 1 + 497 + 4 + 1 + 8 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (149741887681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532889140 + ... + 532889420.

It is an arithmetic number, because the mean of its divisors is an integer number (502828560).

Almost surely, 2149741887680 is an apocalyptic number.

149741887680 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 149741887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337900792320).

149741887680 is an abundant number, since it is smaller than the sum of its proper divisors (526059696960).

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

149741887680 is a wasteful number, since it uses less digits than its factorization.

149741887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 149741887680 in words is "one hundred forty-nine billion, seven hundred forty-one million, eight hundred eighty-seven thousand, six hundred eighty".