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8054375607072 = 25321714911040893
BaseRepresentation
bin111010100110100111000…
…1100100110101100100000
31001111222202021200102222100
41311031032030212230200
52023430330123411242
625044043514010400
71460623636024014
oct165151614465440
931458667612870
108054375607072
112625929064683
12aa0baa116a00
134656a80360a2
141dbb96178544
15de7a5a2654c
hex7534e326b20

8054375607072 has 144 divisors (see below), whose sum is σ = 24414728902200. Its totient is φ = 2509903896576.

The previous prime is 8054375607043. The next prime is 8054375607077. The reversal of 8054375607072 is 2707065734508.

It is a happy number.

8054375607072 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 3 + 7 + 560 + 7 + 0 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6936881369616 + 1117494237456 = 2633796^2 + 1057116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8054375607077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4790943 + ... + 6249950.

Almost surely, 28054375607072 is an apocalyptic number.

It is an amenable number.

8054375607072 is an abundant number, since it is smaller than the sum of its proper divisors (16360353295128).

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

8054375607072 is a wasteful number, since it uses less digits than its factorization.

8054375607072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11041075 (or 11041064 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 8054375607072 in words is "eight trillion, fifty-four billion, three hundred seventy-five million, six hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 149 153 204 272 288 298 306 408 447 544 596 612 816 894 1192 1224 1341 1632 1788 2384 2448 2533 2682 3576 4768 4896 5066 5364 7152 7599 10132 10728 14304 15198 20264 21456 22797 30396 40528 42912 45594 60792 81056 91188 121584 182376 243168 364752 729504 11040893 22081786 33122679 44163572 66245358 88327144 99368037 132490716 176654288 187695181 198736074 264981432 353308576 375390362 397472148 529962864 563085543 750780724 794944296 1059925728 1126171086 1501561448 1589888592 1645093057 1689256629 2252342172 3003122896 3179777184 3290186114 3378513258 4504684344 4935279171 6006245792 6580372228 6757026516 9009368688 9870558342 13160744456 13514053032 14805837513 18018737376 19741116684 26321488912 27028106064 27966581969 29611675026 39482233368 52642977824 54056212128 55933163938 59223350052 78964466736 83899745907 111866327876 118446700104 157928933472 167799491814 223732655752 236893400208 251699237721 335598983628 447465311504 473786800416 503398475442 671197967256 894930623008 1006796950884 1342395934512 2013593901768 2684791869024 4027187803536 8054375607072