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5083559760 = 2435432811753
BaseRepresentation
bin1001011110000000…
…01111011101010000
3111010021121121000010
410233000033131100
540402342403020
62200234154520
7236655354636
oct45700173520
914107547003
105083559760
11217959a764
12b9a582a40
13630267336
14363213356
151eb45ede0
hex12f00f750

5083559760 has 160 divisors (see below), whose sum is σ = 16192142208. Its totient is φ = 1318625280.

The previous prime is 5083559731. The next prime is 5083559777. The reversal of 5083559760 is 679553805.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2899044 + ... + 2900796.

Almost surely, 25083559760 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 5083559760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096071104).

5083559760 is an abundant number, since it is smaller than the sum of its proper divisors (11108582448).

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

5083559760 is a wasteful number, since it uses less digits than its factorization.

5083559760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 5083559760 is about 71299.0866701671. The cubic root of 5083559760 is about 1719.4490483438.

The spelling of 5083559760 in words is "five billion, eighty-three million, five hundred fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 281 344 430 516 562 645 688 843 860 1032 1124 1290 1405 1686 1720 1753 2064 2248 2580 2810 3372 3440 3506 4215 4496 5160 5259 5620 6744 7012 8430 8765 10320 10518 11240 12083 13488 14024 16860 17530 21036 22480 24166 26295 28048 33720 35060 36249 42072 48332 52590 60415 67440 70120 72498 75379 84144 96664 105180 120830 140240 144996 150758 181245 193328 210360 226137 241660 289992 301516 362490 376895 420720 452274 483320 492593 579984 603032 724980 753790 904548 966640 985186 1130685 1206064 1449960 1477779 1507580 1809096 1970372 2261370 2462965 2899920 2955558 3015160 3618192 3940744 4522740 4925930 5911116 6030320 7388895 7881488 9045480 9851860 11822232 14777790 18090960 19703720 21181499 23644464 29555580 39407440 42362998 59111160 63544497 84725996 105907495 118222320 127088994 169451992 211814990 254177988 317722485 338903984 423629980 508355976 635444970 847259960 1016711952 1270889940 1694519920 2541779880 5083559760