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34728396864 = 263759437959
BaseRepresentation
bin100000010101111110…
…010100100001000000
310022122021121100110220
4200111332110201000
51032110432144424
623542022023040
72336413334310
oct402576244100
9108567540426
1034728396864
1113801302637
126892577a80
133375b89275
141976409440
15d83cd0579
hex815f94840

34728396864 has 112 divisors (see below), whose sum is σ = 106792166400. Its totient is φ = 9754200576.

The previous prime is 34728396853. The next prime is 34728396869. The reversal of 34728396864 is 46869382743.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 34728396798 and 34728396807.

It is not an unprimeable number, because it can be changed into a prime (34728396869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139684 + ... + 298275.

Almost surely, 234728396864 is an apocalyptic number.

It is an amenable number.

34728396864 is an abundant number, since it is smaller than the sum of its proper divisors (72063769536).

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

34728396864 is a wasteful number, since it uses less digits than its factorization.

34728396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438040 (or 438030 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 34728396864 in words is "thirty-four billion, seven hundred twenty-eight million, three hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2832 3304 3776 4956 5664 6608 9912 11328 13216 19824 26432 39648 79296 437959 875918 1313877 1751836 2627754 3065713 3503672 5255508 6131426 7007344 9197139 10511016 12262852 14014688 18394278 21022032 24525704 25839581 28029376 36788556 42044064 49051408 51679162 73577112 77518743 84088128 98102816 103358324 147154224 155037486 180877067 196205632 206716648 294308448 310074972 361754134 413433296 542631201 588616896 620149944 723508268 826866592 1085262402 1240299888 1447016536 1653733184 2170524804 2480599776 2894033072 4341049608 4961199552 5788066144 8682099216 11576132288 17364198432 34728396864