Search a number
-
+
35297182208 = 29194232
BaseRepresentation
bin100000110111111000…
…000100001000000000
310101002220212122021202
4200313320010020000
51034242034312313
624114301040332
72356461045521
oct406770041000
9111086778252
1035297182208
1113a73380472
126a10b560a8
133436976042
1419cbb88848
15db8bd4558
hex837e04200

35297182208 has 150 divisors (see below), whose sum is σ = 77820871359. Its totient is φ = 15992773632.

The previous prime is 35297182201. The next prime is 35297182213. The reversal of 35297182208 is 80228179253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17648591104 + 17648591104 = 132848^2 + 132848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=132848.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35297182201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1534660085 + ... + 1534660107.

Almost surely, 235297182208 is an apocalyptic number.

35297182208 is a gapful number since it is divisible by the number (38) 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 35297182208

35297182208 is an abundant number, since it is smaller than the sum of its proper divisors (42523689151).

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

35297182208 is an frugal number, since it uses more digits than its factorization.

35297182208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 35297182208 in words is "thirty-five billion, two hundred ninety-seven million, one hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 512 529 608 722 736 874 1058 1216 1444 1472 1748 2116 2432 2888 2944 3496 4232 4864 5776 5888 6859 6992 8303 8464 9728 10051 11552 11776 13718 13984 16606 16928 20102 23104 27436 27968 33212 33856 40204 46208 54872 55936 66424 67712 80408 92416 109744 111872 130321 132848 135424 157757 160816 184832 190969 219488 223744 260642 265696 270848 315514 321632 381938 438976 521284 531392 631028 643264 763876 877952 1042568 1062784 1262056 1286528 1527752 1755904 2085136 2125568 2524112 2573056 2997383 3055504 3511808 3628411 4170272 4251136 5048224 5146112 5994766 6111008 7256822 8340544 10096448 11989532 12222016 14513644 16681088 20192896 23979064 24444032 29027288 33362176 40385792 47958128 48888064 58054576 66724352 68939809 80771584 95916256 97776128 116109152 137879618 191832512 232218304 275759236 383665024 464436608 551518472 767330048 928873216 1103036944 1534660096 1857746432 2206073888 4412147776 8824295552 17648591104 35297182208