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20129148312 = 23371326633461
BaseRepresentation
bin10010101111110010…
…100110110110011000
31220221211112200102120
4102233302212312120
5312211030221222
613125221301240
71311550636410
oct225762466630
956854480376
1020129148312
11859a41a069
123a99264820
131b8a385860
14d8d503640
157cc27c15c
hex4afca6d98

20129148312 has 128 divisors (see below), whose sum is σ = 61977000960. Its totient is φ = 5305259520.

The previous prime is 20129148311. The next prime is 20129148329. The reversal of 20129148312 is 21384192102.

It is a super-2 number, since 2×201291483122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20129148311) by changing a digit.

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, 5814262 + ... + 5817722.

It is an arithmetic number, because the mean of its divisors is an integer number (484195320).

Almost surely, 220129148312 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 20129148312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30988500480).

20129148312 is an abundant number, since it is smaller than the sum of its proper divisors (41847852648).

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

20129148312 is a wasteful number, since it uses less digits than its factorization.

20129148312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 20129148312 in words is "twenty billion, one hundred twenty-nine million, one hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2663 3461 5326 6922 7989 10383 10652 13844 15978 18641 20766 21304 24227 27688 31956 34619 37282 41532 44993 48454 55923 63912 69238 72681 74564 83064 89986 96908 103857 111846 134979 138476 145362 149128 179972 193816 207714 223692 242333 269958 276952 290724 314951 359944 415428 447384 484666 539916 581448 629902 726999 830856 944853 969332 1079832 1259804 1453998 1889706 1938664 2519608 2907996 3779412 5815992 7558824 9216643 18433286 27649929 36866572 55299858 64516501 73733144 110599716 119816359 129033002 193549503 221199432 239632718 258066004 359449077 387099006 479265436 516132008 718898154 774198012 838714513 958530872 1437796308 1548396024 1677429026 2516143539 2875592616 3354858052 5032287078 6709716104 10064574156 20129148312