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3942728347104 = 253238335744201
BaseRepresentation
bin111001010111111100111…
…011000010110111100000
3111221220212111222021210200
4321113330323002313200
51004044201424101404
612215133035425200
7554565324664131
oct71277473026740
914856774867720
103942728347104
111290113402128
125381638b5200
13227a4a69b821
14d8b86d7bc88
156c85d03b839
hex395fcec2de0

3942728347104 has 72 divisors (see below), whose sum is σ = 11241408552192. Its totient is φ = 1310811302400.

The previous prime is 3942728347097. The next prime is 3942728347109. The reversal of 3942728347104 is 4017438272493.

3942728347104 is a `hidden beast` number, since 3 + 94 + 2 + 7 + 2 + 83 + 471 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942728347109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17761797 + ... + 17982404.

It is an arithmetic number, because the mean of its divisors is an integer number (156130674336).

Almost surely, 23942728347104 is an apocalyptic number.

It is an amenable number.

3942728347104 is an abundant number, since it is smaller than the sum of its proper divisors (7298680205088).

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

3942728347104 is a wasteful number, since it uses less digits than its factorization.

3942728347104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35744600 (or 35744589 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3942728347104 in words is "three trillion, nine hundred forty-two billion, seven hundred twenty-eight million, three hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 12256 13788 18384 27576 36768 55152 110304 35744201 71488402 107232603 142976804 214465206 285953608 321697809 428930412 571907216 643395618 857860824 1143814432 1286791236 1715721648 2573582472 3431443296 5147164944 10294329888 13690028983 27380057966 41070086949 54760115932 82140173898 109520231864 123210260847 164280347796 219040463728 246420521694 328560695592 438080927456 492841043388 657121391184 985682086776 1314242782368 1971364173552 3942728347104