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129239339616 = 2533739320233
BaseRepresentation
bin111100001011101000…
…0111101001001100000
3110100120220121200202000
41320113100331021200
54104140232331431
6135212143324000
712223446155412
oct1702720751140
9410526550660
10129239339616
114a8a0268792
1221069bb0600
13c258416a2a
1463804609b2
1535661ac9e6
hex1e1743d260

129239339616 has 96 divisors (see below), whose sum is σ = 377017693920. Its totient is φ = 43071823872.

The previous prime is 129239339611. The next prime is 129239339627. The reversal of 129239339616 is 616933932921.

129239339616 is a `hidden beast` number, since 1 + 2 + 9 + 239 + 3 + 396 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129239339611) 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 15 ways as a sum of consecutive naturals, for example, 6377436 + ... + 6397668.

It is an arithmetic number, because the mean of its divisors is an integer number (3927267645).

Almost surely, 2129239339616 is an apocalyptic number.

129239339616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129239339616 is an abundant number, since it is smaller than the sum of its proper divisors (247778354304).

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

129239339616 is a wasteful number, since it uses less digits than its factorization.

129239339616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27645 (or 27631 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

It can be divided in two parts, 12923 and 9339616, that added together give a palindrome (9352539).

The spelling of 129239339616 in words is "one hundred twenty-nine billion, two hundred thirty-nine million, three hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 7393 14786 20233 22179 29572 40466 44358 59144 60699 66537 80932 88716 118288 121398 133074 161864 177432 182097 199611 236576 242796 266148 323728 354864 364194 399222 485592 532296 546291 647456 709728 728388 798444 971184 1064592 1092582 1456776 1596888 1942368 2129184 2185164 2913552 3193776 4370328 5827104 6387552 8740656 17481312 149582569 299165138 448747707 598330276 897495414 1196660552 1346243121 1794990828 2393321104 2692486242 3589981656 4038729363 4786642208 5384972484 7179963312 8077458726 10769944968 14359926624 16154917452 21539889936 32309834904 43079779872 64619669808 129239339616