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5056632336 = 2437194119319
BaseRepresentation
bin1001011010110011…
…00001011000010000
3111001101221112112010
410231121201120100
540323444213321
62153433102520
7236210444220
oct45531413020
914041845463
105056632336
112165378798
12b91557a40
136277c9a52
1435d804080
151e8de1676
hex12d661610

5056632336 has 160 divisors (see below), whose sum is σ = 16098969600. Its totient is φ = 1335260160.

The previous prime is 5056632319. The next prime is 5056632349. The reversal of 5056632336 is 6332366505.

It is a junction number, because it is equal to n+sod(n) for n = 5056632294 and 5056632303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252085 + ... + 271403.

It is an arithmetic number, because the mean of its divisors is an integer number (100618560).

Almost surely, 25056632336 is an apocalyptic number.

5056632336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056632336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049484800).

5056632336 is an abundant number, since it is smaller than the sum of its proper divisors (11042337264).

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

5056632336 is a wasteful number, since it uses less digits than its factorization.

5056632336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19397 (or 19391 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 39.

The square root of 5056632336 is about 71110.0016594009. The cubic root of 5056632336 is about 1716.4077198550.

The spelling of 5056632336 in words is "five billion, fifty-six million, six hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 656 779 798 861 912 984 1064 1148 1558 1596 1722 1968 2128 2296 2337 3116 3192 3444 4592 4674 5453 6232 6384 6888 9348 10906 12464 13776 16359 18696 19319 21812 32718 37392 38638 43624 57957 65436 77276 87248 115914 130872 135233 154552 231828 261744 270466 309104 367061 405699 463656 540932 734122 792079 811398 927312 1081864 1101183 1468244 1584158 1622796 2163728 2202366 2376237 2569427 2936488 3168316 3245592 4404732 4752474 5138854 5544553 5872976 6336632 6491184 7708281 8809464 9504948 10277708 11089106 12673264 15049501 15416562 16633659 17618928 19009896 20555416 22178212 30099002 30833124 33267318 38019792 41110832 44356424 45148503 60198004 61666248 66534636 88712848 90297006 105346507 120396008 123332496 133069272 180594012 210693014 240792016 266138544 316039521 361188024 421386028 632079042 722376048 842772056 1264158084 1685544112 2528316168 5056632336