Search a number
-
+
29959003828754 = 271113154923994027
BaseRepresentation
bin1101100111111010111111…
…10001111111001000010010
310221002001102111011110221022
412303331133301333020102
512411322014440010004
6143414550520555442
76211316020602110
oct663753761771022
9127061374143838
1029959003828754
1196005a66a48a0
12343a309922b82
131394177b90460
1475804878aab0
1536e480b1a2be
hex1b3f5fc7f212

29959003828754 has 128 divisors (see below), whose sum is σ = 60416133120000. Its totient is φ = 10760350106880.

The previous prime is 29959003828751. The next prime is 29959003828799. The reversal of 29959003828754 is 45782830095992.

It is a super-2 number, since 2×299590038287542 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29959003828751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7439532089 + ... + 7439536115.

It is an arithmetic number, because the mean of its divisors is an integer number (472001040000).

Almost surely, 229959003828754 is an apocalyptic number.

29959003828754 is an abundant number, since it is smaller than the sum of its proper divisors (30457129291246).

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

29959003828754 is a wasteful number, since it uses less digits than its factorization.

29959003828754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008.

The product of its (nonzero) digits is 391910400, while the sum is 71.

The spelling of 29959003828754 in words is "twenty-nine trillion, nine hundred fifty-nine billion, three million, eight hundred twenty-eight thousand, seven hundred fifty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1549 2002 2399 3098 4027 4798 8054 10843 16793 17039 20137 21686 26389 28189 31187 33586 34078 40274 44297 52351 52778 56378 62374 88594 104702 119273 140959 184723 218309 221507 238546 281918 310079 343057 366457 369446 436618 443014 575861 620158 686114 732914 1151722 1550549 2401399 3101098 3716051 4031027 4802798 6237823 7432102 8062054 9660773 12475646 19321546 26012357 40876561 43664761 48308663 52024714 67625411 68616053 81091699 81753122 87329522 96617326 106268503 125590049 135250822 137232106 162183398 212537006 251180098 286135927 338160641 480312371 531395293 567641893 572271854 676321282 743879521 879130343 892008689 960624742 1062790586 1135283786 1381490539 1487759042 1758260686 1784017378 2762981078 3719767051 6244060823 7439534102 9670433773 12488121646 14964537377 19340867546 29929074754 104751761639 164609911147 194538985901 209503523278 329219822294 389077971802 1152269378029 1361772901307 2139928844911 2304538756058 2723545802614 4279857689822 14979501914377 29959003828754