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29329978112370 = 23251325068357361
BaseRepresentation
bin1101010101100111010101…
…11011010011100101110010
310211211220210121022020221100
412222303222323103211302
512321020243344043440
6142214001140505230
76115010125331205
oct652635273234562
9124756717266840
1029329978112370
119388857016a41
12335841a3ab216
131349a60972a50
1473581563393c
1535ce17975230
hex1aaceaed3972

29329978112370 has 48 divisors (see below), whose sum is σ = 82123938717912. Its totient is φ = 7219686919680.

The previous prime is 29329978112321. The next prime is 29329978112377. The reversal of 29329978112370 is 7321187992392.

29329978112370 is a `hidden beast` number, since 2 + 9 + 329 + 9 + 78 + 1 + 1 + 237 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9584157197241 + 19745820915129 = 3095829^2 + 4443627^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29329978112298 and 29329978112307.

It is not an unprimeable number, because it can be changed into a prime (29329978112377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12534177511 + ... + 12534179850.

Almost surely, 229329978112370 is an apocalyptic number.

29329978112370 is an abundant number, since it is smaller than the sum of its proper divisors (52793960605542).

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

29329978112370 is a wasteful number, since it uses less digits than its factorization.

29329978112370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25068357387 (or 25068357384 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 29329978112370 in words is "twenty-nine trillion, three hundred twenty-nine billion, nine hundred seventy-eight million, one hundred twelve thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 25068357361 50136714722 75205072083 125341786805 150410144166 225615216249 250683573610 325888645693 376025360415 451230432498 651777291386 752050720830 977665937079 1128076081245 1629443228465 1955331874158 2256152162490 2932997811237 3258886456930 4888329685395 5865995622474 9776659370790 14664989056185 29329978112370