Search a number
-
+
513025241880 = 233519446350417
BaseRepresentation
bin1110111011100101010…
…11111111001100011000
31211001012121111120001110
413131302223333030120
531401133430220010
61031402555220320
752031146414434
oct7356253771430
91731177446043
10513025241880
11188633413508
12835171476a0
13394bb819aa8
141ab8b07d9c4
15d5293be120
hex7772aff318

513025241880 has 128 divisors (see below), whose sum is σ = 1620474854400. Its totient is φ = 129574766592.

The previous prime is 513025241863. The next prime is 513025241999. The reversal of 513025241880 is 88142520315.

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, 10150432 + ... + 10200848.

It is an arithmetic number, because the mean of its divisors is an integer number (12659959800).

Almost surely, 2513025241880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513025241880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810237427200).

513025241880 is an abundant number, since it is smaller than the sum of its proper divisors (1107449612520).

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

513025241880 is a wasteful number, since it uses less digits than its factorization.

513025241880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54913 (or 54909 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 513025241880 in words is "five hundred thirteen billion, twenty-five million, two hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4463 8926 13389 17852 22315 26778 35704 44630 50417 53556 66945 84797 89260 100834 107112 133890 151251 169594 178520 201668 252085 254391 267780 302502 339188 403336 423985 504170 508782 535560 605004 678376 756255 847970 957923 1008340 1017564 1210008 1271955 1512510 1695940 1915846 2016680 2035128 2543910 2873769 3025020 3391880 3831692 4789615 5087820 5747538 6050040 7663384 9579230 10175640 11495076 14368845 19158460 22990152 28737690 38316920 57475380 114950760 225011071 450022142 675033213 900044284 1125055355 1350066426 1800088568 2250110710 2700132852 3375166065 4275210349 4500221420 5400265704 6750332130 8550420698 9000442840 12825631047 13500664260 17100841396 21376051745 25651262094 27001328520 34201682792 42752103490 51302524188 64128155235 85504206980 102605048376 128256310470 171008413960 256512620940 513025241880