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129245946984 = 233271123312761
BaseRepresentation
bin111100001011110101…
…0001010010001101000
3110100121101001101100100
41320113222022101220
54104143430300414
6135212541105400
712223556265030
oct1702752122150
9410541041310
10129245946984
114a8a3a70a20
1221070258260
13c2598bb30b
1463812a08c0
153566a65609
hex1e17a8a468

129245946984 has 96 divisors (see below), whose sum is σ = 436414904640. Its totient is φ = 33570374400.

The previous prime is 129245946923. The next prime is 129245947003. The reversal of 129245946984 is 489649542921.

129245946984 is a `hidden beast` number, since 1 + 2 + 92 + 4 + 5 + 9 + 469 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 11650837 + ... + 11661924.

It is an arithmetic number, because the mean of its divisors is an integer number (4545988590).

Almost surely, 2129245946984 is an apocalyptic number.

129245946984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

129245946984 is an abundant number, since it is smaller than the sum of its proper divisors (307168957656).

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

129245946984 is a wasteful number, since it uses less digits than its factorization.

129245946984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312791 (or 23312784 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 129245946984 in words is "one hundred twenty-nine billion, two hundred forty-five million, nine hundred forty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 23312761 46625522 69938283 93251044 139876566 163189327 186502088 209814849 256440371 279753132 326378654 419629698 489567981 512880742 559506264 652757308 769321113 839259396 979135962 1025761484 1305514616 1468703943 1538642226 1678518792 1795082597 1958271924 2051522968 2307963339 2937407886 3077284452 3590165194 3916543848 4615926678 5385247791 5874815772 6154568904 7180330388 9231853356 10770495582 11749631544 14360660776 16155743373 18463706712 21540991164 32311486746 43081982328 64622973492 129245946984