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3442946907672 = 233337342733429
BaseRepresentation
bin110010000110011111101…
…000001001111000011000
3110012010211220000121022000
4302012133220021320120
5422402123402021142
611153400141001000
7503513301564336
oct62063750117030
913163756017260
103442946907672
1111081668544a8
12477323b53160
131bc88c90623c
14bc8d4bacb56
155e85b6cc14c
hex3219fa09e18

3442946907672 has 64 divisors (see below), whose sum is σ = 9589381692000. Its totient is φ = 1144572135552.

The previous prime is 3442946907643. The next prime is 3442946907689. The reversal of 3442946907672 is 2767096492443.

It is a happy number.

3442946907672 is a `hidden beast` number, since 3 + 442 + 9 + 46 + 90 + 7 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21286147 + ... + 21447282.

Almost surely, 23442946907672 is an apocalyptic number.

It is an amenable number.

3442946907672 is an abundant number, since it is smaller than the sum of its proper divisors (6146434784328).

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

3442946907672 is a wasteful number, since it uses less digits than its factorization.

3442946907672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42733817 (or 42733807 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 3442946907672 in words is "three trillion, four hundred forty-two billion, nine hundred forty-six million, nine hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 373 746 1119 1492 2238 2984 3357 4476 6714 8952 10071 13428 20142 26856 40284 80568 42733429 85466858 128200287 170933716 256400574 341867432 384600861 512801148 769201722 1025602296 1153802583 1538403444 2307605166 3076806888 4615210332 9230420664 15939569017 31879138034 47818707051 63758276068 95637414102 127516552136 143456121153 191274828204 286912242306 382549656408 430368363459 573824484612 860736726918 1147648969224 1721473453836 3442946907672