Search a number
-
+
59038883920 = 24519162723873
BaseRepresentation
bin110110111110111111…
…011110000001010000
312122101112002001100101
4312332333132001100
51431402423241140
643042212102144
74160016143002
oct667677360120
9178345061311
1059038883920
1123046a02355
12b538004954
13574b5b5853
142c00d88372
1518081a299a
hexdbefde050

59038883920 has 80 divisors (see below), whose sum is σ = 144584763840. Its totient is φ = 22357942272.

The previous prime is 59038883861. The next prime is 59038883921. The reversal of 59038883920 is 2938883095.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59038883921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2461104 + ... + 2484976.

It is an arithmetic number, because the mean of its divisors is an integer number (1807309548).

Almost surely, 259038883920 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 59038883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72292381920).

59038883920 is an abundant number, since it is smaller than the sum of its proper divisors (85545879920).

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

59038883920 is a wasteful number, since it uses less digits than its factorization.

59038883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25532 (or 25526 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 59038883920 in words is "fifty-nine billion, thirty-eight million, eight hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1627 3254 6508 8135 13016 16270 23873 26032 30913 32540 47746 61826 65080 95492 119365 123652 130160 154565 190984 238730 247304 309130 381968 453587 477460 494608 618260 907174 954920 1236520 1814348 1909840 2267935 2473040 3628696 4535870 7257392 9071740 18143480 36286960 38841371 77682742 155365484 194206855 310730968 388413710 621461936 737986049 776827420 1475972098 1553654840 2951944196 3107309680 3689930245 5903888392 7379860490 11807776784 14759720980 29519441960 59038883920