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126977143320 = 23335769915271
BaseRepresentation
bin111011001000001101…
…1010111001000011000
3110010202020220012211000
41312100123113020120
54040022122041240
6134155452505000
712113416624056
oct1662033271030
9403666805730
10126977143320
114993a318175
122073847b160
13bc87849841
146207c331d6
1534827a7430
hex1d906d7218

126977143320 has 128 divisors (see below), whose sum is σ = 423339840000. Its totient is φ = 33853956480.

The previous prime is 126977143301. The next prime is 126977143333. The reversal of 126977143320 is 23341779621.

126977143320 is a `hidden beast` number, since 126 + 9 + 7 + 71 + 433 + 20 = 666.

It is a super-2 number, since 2×1269771433202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 8307285 + ... + 8322555.

It is an arithmetic number, because the mean of its divisors is an integer number (3307342500).

Almost surely, 2126977143320 is an apocalyptic number.

126977143320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126977143320 is an abundant number, since it is smaller than the sum of its proper divisors (296362696680).

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

126977143320 is a wasteful number, since it uses less digits than its factorization.

126977143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22990 (or 22980 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 126977143320 in words is "one hundred twenty-six billion, nine hundred seventy-seven million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 7699 15271 15398 23097 30542 30796 38495 45813 46194 61084 61592 69291 76355 76990 91626 92388 115485 122168 137439 138582 152710 153980 183252 184776 207873 229065 230970 274878 277164 305420 307960 346455 366504 412317 415746 458130 461940 549756 554328 610840 687195 692910 824634 831492 916260 923880 1039365 1099512 1374390 1385820 1649268 1662984 1832520 2061585 2078730 2748780 2771640 3298536 4123170 4157460 5497560 8246340 8314920 16492680 117571429 235142858 352714287 470285716 587857145 705428574 940571432 1058142861 1175714290 1410857148 1763571435 2116285722 2351428580 2821714296 3174428583 3527142870 4232571444 4702857160 5290714305 6348857166 7054285740 8465142888 10581428610 12697714332 14108571480 15872142915 21162857220 25395428664 31744285830 42325714440 63488571660 126977143320