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136568332576 = 25131725321433
BaseRepresentation
bin111111100110000011…
…0110110000100100000
3111001111200102010000201
41333030012312010200
54214142443120301
6142423313154544
712603201450004
oct1771406660440
9431450363021
10136568332576
1152a11299665
122257455ba54
13cb5592c260
14687797a704
153844811201
hex1fcc1b6120

136568332576 has 144 divisors (see below), whose sum is σ = 313403575464. Its totient is φ = 58201767936.

The previous prime is 136568332529. The next prime is 136568332577. The reversal of 136568332576 is 675233865631.

It can be written as a sum of positive squares in 12 ways, for example, as 16506082576 + 120062250000 = 128476^2 + 346500^2 .

It is not an unprimeable number, because it can be changed into a prime (136568332577) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6361156 + ... + 6382588.

Almost surely, 2136568332576 is an apocalyptic number.

136568332576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136568332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156701787732).

136568332576 is an abundant number, since it is smaller than the sum of its proper divisors (176835242888).

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

136568332576 is a wasteful number, since it uses less digits than its factorization.

136568332576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21543 (or 21518 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 55.

The spelling of 136568332576 in words is "one hundred thirty-six billion, five hundred sixty-eight million, three hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 53 68 104 106 136 208 212 221 272 289 416 424 442 544 578 689 848 884 901 1156 1378 1696 1768 1802 2312 2756 3536 3604 3757 4624 5512 7072 7208 7514 9248 11024 11713 14416 15028 15317 21433 22048 23426 28832 30056 30634 42866 46852 60112 61268 85732 93704 120224 122536 171464 187408 199121 245072 278629 342928 364361 374816 398242 490144 557258 685856 728722 796484 1114516 1135949 1457444 1592968 2229032 2271898 2914888 3185936 4458064 4543796 4736693 5829776 6194137 6371872 8916128 9087592 9473386 11659552 12388274 14767337 18175184 18946772 19311133 24776548 29534674 36350368 37893544 38622266 49553096 59069348 75787088 77244532 80523781 99106192 118138696 151574176 154489064 161047562 198212384 236277392 251044729 308978128 322095124 328289261 472554784 502089458 617956256 644190248 656578522 1004178916 1288380496 1313157044 2008357832 2576760992 2626314088 4016715664 4267760393 5252628176 8033431328 8535520786 10505256352 17071041572 34142083144 68284166288 136568332576