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5029795303896 = 23311312812187149
BaseRepresentation
bin100100100110001011100…
…1010011001000111011000
3122210211210002020101112010
41021030113022121013120
51124402010044211041
614410353413145520
71026251005444266
oct111142712310730
918724702211463
105029795303896
11166a140360360
1269298432b2a0
132a63ccc196bc
1413562c949436
158ac833b4a16
hex493172991d8

5029795303896 has 128 divisors (see below), whose sum is σ = 14210525952000. Its totient is φ = 1469763456000.

The previous prime is 5029795303879. The next prime is 5029795303969. The reversal of 5029795303896 is 6983035979205.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206130 + ... + 3393278.

It is an arithmetic number, because the mean of its divisors is an integer number (111019734000).

Almost surely, 25029795303896 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 5029795303896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105262976000).

5029795303896 is an abundant number, since it is smaller than the sum of its proper divisors (9180730648104).

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

5029795303896 is a wasteful number, since it uses less digits than its factorization.

5029795303896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187481 (or 2187477 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 5029795303896 in words is "five trillion, twenty-nine billion, seven hundred ninety-five million, three hundred three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 281 341 372 562 682 744 843 1023 1124 1364 1686 2046 2248 2728 3091 3372 4092 6182 6744 8184 8711 9273 12364 17422 18546 24728 26133 34844 37092 52266 69688 74184 95821 104532 191642 209064 287463 383284 574926 766568 1149852 2187149 2299704 4374298 6561447 8748596 13122894 17497192 24058639 26245788 48117278 52491576 67801619 72175917 96234556 135603238 144351834 192469112 203404857 271206476 288703668 406809714 542412952 577407336 614588869 745817809 813619428 1229177738 1491635618 1627238856 1843766607 2237453427 2458355476 2983271236 3687533214 4474906854 4916710952 5966542472 6760477559 7375066428 8949813708 13520955118 14750132856 17899627416 19052254939 20281432677 27041910236 38104509878 40562865354 54083820472 57156764817 76209019756 81125730708 114313529634 152418039512 162251461416 209574804329 228627059268 419149608658 457254118536 628724412987 838299217316 1257448825974 1676598434632 2514897651948 5029795303896