Search a number
-
+
149906501584 = 24710323954371
BaseRepresentation
bin1000101110011100011…
…1111010111111010000
3112022221020112022011021
42023213013322333100
54424002031022314
6152511024325224
713554552145060
oct2134707727720
9468836468137
10149906501584
1158636348434
1225077473814
13111a00a4058
1473811b33a0
153d757b1324
hex22e71fafd0

149906501584 has 80 divisors (see below), whose sum is σ = 336567029760. Its totient is φ = 63354533760.

The previous prime is 149906501579. The next prime is 149906501603. The reversal of 149906501584 is 485105609941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2729919 + ... + 2784289.

It is an arithmetic number, because the mean of its divisors is an integer number (4207087872).

Almost surely, 2149906501584 is an apocalyptic number.

149906501584 is a gapful number since it is divisible by the number (14) 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 149906501584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168283514880).

149906501584 is an abundant number, since it is smaller than the sum of its proper divisors (186660528176).

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

149906501584 is a wasteful number, since it uses less digits than its factorization.

149906501584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54728 (or 54722 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 149906501584 in words is "one hundred forty-nine billion, nine hundred six million, five hundred one thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 239 412 478 721 824 956 1442 1648 1673 1912 2884 3346 3824 5768 6692 11536 13384 24617 26768 49234 54371 98468 108742 172319 196936 217484 344638 380597 393872 434968 689276 761194 869936 1378552 1522388 2757104 3044776 5600213 6089552 11200426 12994669 22400852 25989338 39201491 44801704 51978676 78402982 89603408 90962683 103957352 156805964 181925366 207914704 313611928 363850732 627223856 727701464 1338450907 1455402928 2676901814 5353803628 9369156349 10707607256 18738312698 21415214512 37476625396 74953250792 149906501584