Search a number
-
+
29810954434688 = 277241138054583
BaseRepresentation
bin1101100011100111001110…
…10110010111100010000000
310220112220021200010000100222
412301303213112113202000
512401410313313402223
6143222544032402212
76164525145530450
oct661634726274200
9126486250100328
1029810954434688
119553833676869
1234156903a6368
1313832127829bb
14750c020b7d60
1536a6b83e30c8
hex1b1ce7597880

29810954434688 has 64 divisors (see below), whose sum is σ = 68154787029120. Its totient is φ = 12723110277120.

The previous prime is 29810954434669. The next prime is 29810954434693. The reversal of 29810954434688 is 88643445901892.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68811356 + ... + 69243227.

It is an arithmetic number, because the mean of its divisors is an integer number (1064918547330).

Almost surely, 229810954434688 is an apocalyptic number.

29810954434688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29810954434688 is an abundant number, since it is smaller than the sum of its proper divisors (38343832594432).

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

29810954434688 is a wasteful number, since it uses less digits than its factorization.

29810954434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138054845 (or 138054833 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 71.

The spelling of 29810954434688 in words is "twenty-nine trillion, eight hundred ten billion, nine hundred fifty-four million, four hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 241 448 482 896 964 1687 1928 3374 3856 6748 7712 13496 15424 26992 30848 53984 107968 215936 138054583 276109166 552218332 966382081 1104436664 1932764162 2208873328 3865528324 4417746656 7731056648 8835493312 15462113296 17670986624 30924226592 33271154503 61848453184 66542309006 123696906368 133084618012 232898081521 266169236024 465796163042 532338472048 931592326084 1064676944096 1863184652168 2129353888192 3726369304336 4258707776384 7452738608672 14905477217344 29810954434688