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29478057781460 = 225194113913611833
BaseRepresentation
bin1101011001111011001010…
…01010011010100011010100
310212101002000112022212000212
412230331211022122203110
512330432030243001320
6142410011030024552
76131501515625111
oct654754512324324
9125332015285025
1029478057781460
119435635143052
123381065aa8158
13135a9cc420712
1473ca61d47908
15361bd2b7c9c5
hex1acf6529a8d4

29478057781460 has 96 divisors (see below), whose sum is σ = 67231570492800. Its totient is φ = 10819773020160.

The previous prime is 29478057781429. The next prime is 29478057781477. The reversal of 29478057781460 is 6418775087492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640297 + ... + 8971536.

It is an arithmetic number, because the mean of its divisors is an integer number (700328859300).

Almost surely, 229478057781460 is an apocalyptic number.

29478057781460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29478057781460 is an abundant number, since it is smaller than the sum of its proper divisors (37753512711340).

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

29478057781460 is a wasteful number, since it uses less digits than its factorization.

29478057781460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612041 (or 13612039 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 68.

The spelling of 29478057781460 in words is "twenty-nine trillion, four hundred seventy-eight billion, fifty-seven million, seven hundred eighty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 139 164 190 205 278 380 410 556 695 779 820 1390 1558 2641 2780 3116 3895 5282 5699 7790 10564 11398 13205 15580 22796 26410 28495 52820 56990 108281 113980 216562 433124 541405 1082810 2165620 13611833 27223666 54447332 68059165 136118330 258624827 272236660 517249654 558085153 1034499308 1116170306 1293124135 1892044787 2232340612 2586248270 2790425765 3784089574 5172496540 5580851530 7568179148 9460223935 10603617907 11161703060 18920447870 21207235814 35948850953 37840895740 42414471628 53018089535 71897701906 77573836267 106036179070 143795403812 155147672534 179744254765 212072358140 310295345068 359488509530 387869181335 718977019060 775738362670 1473902889073 1551476725340 2947805778146 5895611556292 7369514445365 14739028890730 29478057781460