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1077467485140 = 223255985930473
BaseRepresentation
bin11111010110111100001…
…00010001001111010100
310211000010120011102012100
433223132010101033110
5120123123134011030
62142552015322100
7140562435340254
oct17533604211724
93730116142170
101077467485140
11385a51340092
121549a1820330
137a7b2828647
143a214b09964
151d062735360
hexfade1113d4

1077467485140 has 36 divisors (see below), whose sum is σ = 3268318038804. Its totient is φ = 287324662656.

The previous prime is 1077467485121. The next prime is 1077467485147. The reversal of 1077467485140 is 415847647701.

1077467485140 is a `hidden beast` number, since 10 + 7 + 7 + 4 + 6 + 7 + 485 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 731702316816 + 345765168324 = 855396^2 + 588018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10774674851402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077467485147) 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, 2992965057 + ... + 2992965416.

It is an arithmetic number, because the mean of its divisors is an integer number (90786612189).

Almost surely, 21077467485140 is an apocalyptic number.

1077467485140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077467485140 is an abundant number, since it is smaller than the sum of its proper divisors (2190850553664).

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

1077467485140 is a wasteful number, since it uses less digits than its factorization.

1077467485140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985930488 (or 5985930483 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 1077467485140 in words is "one trillion, seventy-seven billion, four hundred sixty-seven million, four hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5985930473 11971860946 17957791419 23943721892 29929652365 35915582838 53873374257 59859304730 71831165676 89788957095 107746748514 119718609460 179577914190 215493497028 269366871285 359155828380 538733742570 1077467485140