Search a number
-
+
201347183488 = 2711331432031
BaseRepresentation
bin1011101110000100111…
…0100011001110000000
3201020201020020200211011
42323201032203032000
511244324334332423
6232255252530304
720355366551443
oct2734116431600
9636636220734
10201347183488
1178433266090
1233032920994
1315caa467579
149a60da565a
155386884b0d
hex2ee13a3380

201347183488 has 64 divisors (see below), whose sum is σ = 438909949440. Its totient is φ = 91244736000.

The previous prime is 201347183461. The next prime is 201347183501. The reversal of 201347183488 is 884381743102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2013471834882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250033 + ... + 682063.

It is an arithmetic number, because the mean of its divisors is an integer number (6857967960).

Almost surely, 2201347183488 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 201347183488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219454974720).

201347183488 is an abundant number, since it is smaller than the sum of its proper divisors (237562765952).

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

201347183488 is a wasteful number, since it uses less digits than its factorization.

201347183488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432387 (or 432375 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 201347183488 in words is "two hundred one billion, three hundred forty-seven million, one hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 331 352 662 704 1324 1408 2648 3641 5296 7282 10592 14564 21184 29128 42368 58256 116512 233024 432031 466048 864062 1728124 3456248 4752341 6912496 9504682 13824992 19009364 27649984 38018728 55299968 76037456 143002261 152074912 286004522 304149824 572009044 608299648 1144018088 1573024871 2288036176 3146049742 4576072352 6292099484 9152144704 12584198968 18304289408 25168397936 50336795872 100673591744 201347183488