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126316204536 = 23343769159167
BaseRepresentation
bin111010110100100001…
…0000101000111111000
3110002001012020001020210
41311221002011013320
54032143422021121
6134010122351120
712061143010614
oct1655102050770
9402035201223
10126316204536
1149630228075
122059305b4a0
13bbb09358c2
146184146344
15344474d876
hex1d690851f8

126316204536 has 64 divisors (see below), whose sum is σ = 323556710400. Its totient is φ = 41072467968.

The previous prime is 126316204499. The next prime is 126316204549. The reversal of 126316204536 is 635402613621.

It is a junction number, because it is equal to n+sod(n) for n = 126316204494 and 126316204503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714025 + ... + 873191.

It is an arithmetic number, because the mean of its divisors is an integer number (5055573600).

Almost surely, 2126316204536 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 126316204536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161778355200).

126316204536 is an abundant number, since it is smaller than the sum of its proper divisors (197240505864).

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

126316204536 is a wasteful number, since it uses less digits than its factorization.

126316204536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159988 (or 159984 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 126316204536 in words is "one hundred twenty-six billion, three hundred sixteen million, two hundred four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 769 1032 1538 2307 3076 4614 6152 9228 18456 33067 66134 99201 132268 159167 198402 264536 318334 396804 477501 636668 793608 955002 1273336 1910004 3820008 6844181 13688362 20532543 27376724 41065086 54753448 82130172 122399423 164260344 244798846 367198269 489597692 734396538 979195384 1468793076 2937586152 5263175189 10526350378 15789525567 21052700756 31579051134 42105401512 63158102268 126316204536