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107414104896 = 2632726640403
BaseRepresentation
bin110010000001001100…
…0010010101101000000
3101021020212120220011100
41210002120102231000
53224441002324041
6121202333014400
710521551553450
oct1440230225500
9337225526140
10107414104896
114161050991a
1218998924400
13a18a855067
1452ad9b3d60
152bda0a16b6
hex1902612b40

107414104896 has 84 divisors (see below), whose sum is σ = 351866456032. Its totient is φ = 30689743104.

The previous prime is 107414104871. The next prime is 107414104921. The reversal of 107414104896 is 698401414701.

107414104896 is a `hidden beast` number, since 107 + 4 + 1 + 410 + 48 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (107414104871) and next prime (107414104921).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13316170 + ... + 13324233.

Almost surely, 2107414104896 is an apocalyptic number.

107414104896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107414104896 is an abundant number, since it is smaller than the sum of its proper divisors (244452351136).

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

107414104896 is a wasteful number, since it uses less digits than its factorization.

107414104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26640428 (or 26640415 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 107414104896 in words is "one hundred seven billion, four hundred fourteen million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 26640403 53280806 79921209 106561612 159842418 186482821 213123224 239763627 319684836 372965642 426246448 479527254 559448463 639369672 745931284 852492896 959054508 1118896926 1278739344 1491862568 1678345389 1704985792 1918109016 2237793852 2557478688 2983725136 3356690778 3836218032 4475587704 5114957376 5967450272 6713381556 7672436064 8951175408 11934900544 13426763112 15344872128 17902350816 26853526224 35804701632 53707052448 107414104896