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14333805696 = 273710974861
BaseRepresentation
bin11010101100101110…
…01000010010000000
31100222221120202220110
431112113020102000
5213323423240241
610330155111320
71015130223660
oct152627102200
940887522813
1014333805696
116096072411
122940442540
131475814c42
1499d96a1a0
1558d5bd816
hex3565c8480

14333805696 has 128 divisors (see below), whose sum is σ = 43561964160. Its totient is φ = 4090798080.

The previous prime is 14333805667. The next prime is 14333805701. The reversal of 14333805696 is 69650833341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 2946306 + ... + 2951166.

It is an arithmetic number, because the mean of its divisors is an integer number (340327845).

Almost surely, 214333805696 is an apocalyptic number.

14333805696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14333805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780982080).

14333805696 is an abundant number, since it is smaller than the sum of its proper divisors (29228158464).

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

14333805696 is a wasteful number, since it uses less digits than its factorization.

14333805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 14333805696 in words is "fourteen billion, three hundred thirty-three million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1097 1344 2194 2688 3291 4388 4861 6582 7679 8776 9722 13164 14583 15358 17552 19444 23037 26328 29166 30716 34027 35104 38888 46074 52656 58332 61432 68054 70208 77776 92148 102081 105312 116664 122864 136108 140416 155552 184296 204162 210624 233328 245728 272216 311104 368592 408324 421248 466656 491456 544432 622208 737184 816648 933312 982912 1088864 1474368 1633296 1866624 2177728 2948736 3266592 4355456 5332517 6533184 10665034 13066368 15997551 21330068 31995102 37327619 42660136 63990204 74655238 85320272 111982857 127980408 149310476 170640544 223965714 255960816 298620952 341281088 447931428 511921632 597241904 682562176 895862856 1023843264 1194483808 1791725712 2047686528 2388967616 3583451424 4777935232 7166902848 14333805696