Search a number
-
+
149896888800 = 25352103606379
BaseRepresentation
bin1000101110011010001…
…1010000000111100000
3112022220120102220220020
42023212203100013200
54423442100420200
6152510042313440
713554404350341
oct2134643200740
9468816386806
10149896888800
115863098218a
12250741b8880
131119b0b9809
14737dbd00c8
153d74a12ea0
hex22e68d01e0

149896888800 has 144 divisors (see below), whose sum is σ = 492652218240. Its totient is φ = 39584355840.

The previous prime is 149896888793. The next prime is 149896888853. The reversal of 149896888800 is 8888698941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55990 + ... + 550389.

It is an arithmetic number, because the mean of its divisors is an integer number (3421195960).

Almost surely, 2149896888800 is an apocalyptic number.

149896888800 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 149896888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246326109120).

149896888800 is an abundant number, since it is smaller than the sum of its proper divisors (342755329440).

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

149896888800 is a wasteful number, since it uses less digits than its factorization.

149896888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606505 (or 606492 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 69.

The spelling of 149896888800 in words is "one hundred forty-nine billion, eight hundred ninety-six million, eight hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 103 120 150 160 200 206 240 300 309 400 412 480 515 600 618 800 824 1030 1200 1236 1545 1648 2060 2400 2472 2575 3090 3296 4120 4944 5150 6180 7725 8240 9888 10300 12360 15450 16480 20600 24720 30900 41200 49440 61800 82400 123600 247200 606379 1212758 1819137 2425516 3031895 3638274 4851032 6063790 7276548 9095685 9702064 12127580 14553096 15159475 18191370 19404128 24255160 29106192 30318950 36382740 45478425 48510320 58212384 60637900 62457037 72765480 90956850 97020640 121275800 124914074 145530960 181913700 187371111 242551600 249828148 291061920 312285185 363827400 374742222 485103200 499656296 624570370 727654800 749484444 936855555 999312592 1249140740 1455309600 1498968888 1561425925 1873711110 1998625184 2498281480 2997937776 3122851850 3747422220 4684277775 4996562960 5995875552 6245703700 7494844440 9368555550 9993125920 12491407400 14989688880 18737111100 24982814800 29979377760 37474222200 49965629600 74948444400 149896888800