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149930809680 = 243529166912907
BaseRepresentation
bin1000101110100010010…
…0101001100101010000
3112022222221021021121010
42023220210221211100
54424024241402210
6152513253330520
713555265566131
oct2135044514520
9468887237533
10149930809680
1158649040473
1225083636a40
13111a5135342
1473844ddc88
153d779b3920
hex22e8929950

149930809680 has 160 divisors (see below), whose sum is σ = 481137955200. Its totient is φ = 38576756736.

The previous prime is 149930809673. The next prime is 149930809703. The reversal of 149930809680 is 86908039941.

It is a Cunningham number, because it is equal to 3872092-1.

It is a self number, because there is not a number n which added to its sum of digits gives 149930809680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609787 + ... + 11622693.

It is an arithmetic number, because the mean of its divisors is an integer number (3007112220).

Almost surely, 2149930809680 is an apocalyptic number.

149930809680 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 149930809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240568977600).

149930809680 is an abundant number, since it is smaller than the sum of its proper divisors (331207145520).

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

149930809680 is a wasteful number, since it uses less digits than its factorization.

149930809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14621 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 149930809680 in words is "one hundred forty-nine billion, nine hundred thirty million, eight hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1669 1740 2320 3338 3480 5007 6676 6960 8345 10014 12907 13352 16690 20028 25035 25814 26704 33380 38721 40056 48401 50070 51628 64535 66760 77442 80112 96802 100140 103256 129070 133520 145203 154884 193604 193605 200280 206512 242005 258140 290406 309768 374303 387208 387210 400560 484010 516280 580812 619536 726015 748606 774416 774420 968020 1032560 1122909 1161624 1452030 1497212 1548840 1871515 1936040 2245818 2323248 2904060 2994424 3097680 3743030 3872080 4491636 5614545 5808120 5988848 7486060 8983272 11229090 11616240 14972120 17966544 21541783 22458180 29944240 43083566 44916360 64625349 86167132 89832720 107708915 129250698 172334264 215417830 258501396 323126745 344668528 430835660 517002792 624711707 646253490 861671320 1034005584 1249423414 1292506980 1723342640 1874135121 2498846828 2585013960 3123558535 3748270242 4997693656 5170027920 6247117070 7496540484 9370675605 9995387312 12494234140 14993080968 18741351210 24988468280 29986161936 37482702420 49976936560 74965404840 149930809680