Search a number
-
+
63144438952 = 23759120115913
BaseRepresentation
bin111010110011101100…
…111010110010101000
320000222122101212002011
4322303230322302220
52013304434021302
645001432245304
74363530606130
oct726354726250
9200878355064
1063144438952
1124863431641
12102a2b40834
135c5404435a
1430b0337ac0
1519988285d7
hexeb3b3aca8

63144438952 has 64 divisors (see below), whose sum is σ = 137726121600. Its totient is φ = 26579404800.

The previous prime is 63144438943. The next prime is 63144439009. The reversal of 63144438952 is 25983444136.

It is a junction number, because it is equal to n+sod(n) for n = 63144438896 and 63144438905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3960148 + ... + 3976060.

It is an arithmetic number, because the mean of its divisors is an integer number (2151970650).

Almost surely, 263144438952 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 63144438952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68863060800).

63144438952 is an abundant number, since it is smaller than the sum of its proper divisors (74581682648).

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

63144438952 is a wasteful number, since it uses less digits than its factorization.

63144438952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17186 (or 17182 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The spelling of 63144438952 in words is "sixty-three billion, one hundred forty-four million, four hundred thirty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1201 1652 2402 3304 4804 8407 9608 15913 16814 31826 33628 63652 67256 70859 111391 127304 141718 222782 283436 445564 496013 566872 891128 938867 992026 1877734 1984052 3755468 3968104 6572069 7510936 13144138 19111513 26288276 38223026 52576552 76446052 133780591 152892104 267561182 535122364 1070244728 1127579267 2255158534 4510317068 7893054869 9020634136 15786109738 31572219476 63144438952