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5308580004 = 22371321721997
BaseRepresentation
bin1001111000110101…
…01000000010100100
3111200222000210202020
410330122220002210
541332444030004
62234433143140
7245360120430
oct47432500244
914628023666
105308580004
112284611802
1210419baab0
13667a71b00
143850699c0
152110ac8d9
hex13c6a80a4

5308580004 has 144 divisors (see below), whose sum is σ = 16231356288. Its totient is φ = 1317648384.

The previous prime is 5308579963. The next prime is 5308580033. The reversal of 5308580004 is 4000858035.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 230334 + ... + 252330.

It is an arithmetic number, because the mean of its divisors is an integer number (112717752).

Almost surely, 25308580004 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 5308580004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115678144).

5308580004 is an abundant number, since it is smaller than the sum of its proper divisors (10922776284).

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

5308580004 is a wasteful number, since it uses less digits than its factorization.

5308580004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22054 (or 22039 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5308580004 is about 72860.0027724402. The cubic root of 5308580004 is about 1744.4537337683.

The spelling of 5308580004 in words is "five billion, three hundred eight million, five hundred eighty thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 663 676 714 884 1014 1092 1183 1326 1428 1547 2028 2366 2652 2873 3094 3549 4641 4732 5746 6188 7098 8619 9282 11492 14196 17238 18564 20111 21997 34476 40222 43994 60333 65991 80444 87988 120666 131982 153979 241332 263964 285961 307958 373949 461937 571922 615916 747898 857883 923874 1121847 1143844 1495796 1715766 1847748 2001727 2243694 2617643 3431532 3717493 4003454 4487388 4861337 5235286 6005181 7434986 7852929 8006908 9722674 10470572 11152479 12010362 14584011 14869972 15705858 19445348 22304958 24020724 26022451 29168022 31411716 34029359 44609916 52044902 58336044 63197381 68058718 78067353 102088077 104089804 126394762 136117436 156134706 189592143 204176154 252789524 312269412 379184286 408352308 442381667 758368572 884763334 1327145001 1769526668 2654290002 5308580004