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7126316640 = 253254948831
BaseRepresentation
bin1101010001100001…
…01111011001100000
3200101122102101122100
412220300233121200
5104043314113030
63135045410400
7341411456232
oct65060573140
920348371570
107126316640
113027690193
12146a709a00
13897532011
144b863c252
152ba96b360
hex1a8c2f660

7126316640 has 72 divisors (see below), whose sum is σ = 24318560448. Its totient is φ = 1900350720.

The previous prime is 7126316627. The next prime is 7126316651. The reversal of 7126316640 is 466136217.

It is a happy number.

7126316640 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 3 + 1 + 6 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7126316595 and 7126316604.

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, 2472976 + ... + 2475855.

It is an arithmetic number, because the mean of its divisors is an integer number (337757784).

Almost surely, 27126316640 is an apocalyptic number.

It is an amenable number.

7126316640 is an abundant number, since it is smaller than the sum of its proper divisors (17192243808).

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

7126316640 is a wasteful number, since it uses less digits than its factorization.

7126316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948852 (or 4948841 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7126316640 is about 84417.5138226660. The cubic root of 7126316640 is about 1924.3690867716.

The spelling of 7126316640 in words is "seven billion, one hundred twenty-six million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4948831 9897662 14846493 19795324 24744155 29692986 39590648 44539479 49488310 59385972 74232465 79181296 89078958 98976620 118771944 148464930 158362592 178157916 197953240 222697395 237543888 296929860 356315832 395906480 445394790 475087776 593859720 712631664 791812960 890789580 1187719440 1425263328 1781579160 2375438880 3563158320 7126316640