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5379874632 = 23331110920773
BaseRepresentation
bin1010000001010101…
…00101111101001000
3111212221011221121000
411000222211331020
542004221442012
62245501215000
7250214115456
oct50052457510
914787157530
105379874632
112310887490
121061861460
13679774992
143907079d6
15217491ddc
hex140aa5f48

5379874632 has 128 divisors (see below), whose sum is σ = 16453008000. Its totient is φ = 1615230720.

The previous prime is 5379874613. The next prime is 5379874663. The reversal of 5379874632 is 2364789735.

5379874632 is a `hidden beast` number, since 537 + 9 + 8 + 74 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 248598 + ... + 269370.

It is an arithmetic number, because the mean of its divisors is an integer number (128539125).

Almost surely, 25379874632 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 5379874632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226504000).

5379874632 is an abundant number, since it is smaller than the sum of its proper divisors (11073133368).

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

5379874632 is a wasteful number, since it uses less digits than its factorization.

5379874632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20908 (or 20898 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 5379874632 is about 73347.6286733252. The cubic root of 5379874632 is about 1752.2284136425.

The spelling of 5379874632 in words is "five billion, three hundred seventy-nine million, eight hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 109 132 198 216 218 264 297 327 396 436 594 654 792 872 981 1188 1199 1308 1962 2376 2398 2616 2943 3597 3924 4796 5886 7194 7848 9592 10791 11772 14388 20773 21582 23544 28776 32373 41546 43164 62319 64746 83092 86328 124638 129492 166184 186957 228503 249276 258984 373914 457006 498552 560871 685509 747828 914012 1121742 1371018 1495656 1828024 2056527 2243484 2264257 2742036 4113054 4486968 4528514 5484072 6169581 6792771 8226108 9057028 12339162 13585542 16452216 18114056 20378313 24678324 24906827 27171084 40756626 49356648 49813654 54342168 61134939 74720481 81513252 99627308 122269878 149440962 163026504 199254616 224161443 244539756 298881924 448322886 489079512 597763848 672484329 896645772 1344968658 1793291544 2689937316 5379874632