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70923072345768 = 233217142814057397
BaseRepresentation
bin10000001000000100010000…
…100010001001011010101000
3100022010011211212002110100200
4100020010100202021122220
533244000423010031033
6410501335403232200
720640010564066536
oct2010042042113250
9308104755073320
1070923072345768
1120664340418875
127b55449518660
13307602b5323c6
1413729a31ad156
1582ed12873013
hex4081108896a8

70923072345768 has 96 divisors (see below), whose sum is σ = 203396631408360. Its totient is φ = 22248812113920.

The previous prime is 70923072345761. The next prime is 70923072345791. The reversal of 70923072345768 is 86754327032907.

70923072345768 is a `hidden beast` number, since 7 + 0 + 9 + 2 + 30 + 7 + 23 + 4 + 576 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64256544576324 + 6666527769444 = 8016018^2 + 2581962^2 .

It is not an unprimeable number, because it can be changed into a prime (70923072345761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15451246 + ... + 19508642.

Almost surely, 270923072345768 is an apocalyptic number.

It is an amenable number.

70923072345768 is an abundant number, since it is smaller than the sum of its proper divisors (132473559062592).

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

70923072345768 is a wasteful number, since it uses less digits than its factorization.

70923072345768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071707 (or 4071700 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 70923072345768 in words is "seventy trillion, nine hundred twenty-three billion, seventy-two million, three hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 14281 28562 42843 57124 85686 114248 128529 171372 242777 257058 342744 485554 514116 728331 971108 1028232 1456662 1942216 2184993 2913324 4057397 4369986 5826648 8114794 8739972 12172191 16229588 17479944 24344382 32459176 36516573 48688764 68975749 73033146 97377528 137951498 146066292 206927247 275902996 292132584 413854494 551805992 620781741 827708988 1241563482 1655417976 2483126964 4966253928 57943686557 115887373114 173831059671 231774746228 347662119342 463549492456 521493179013 695324238684 985042671469 1042986358026 1390648477368 1970085342938 2085972716052 2955128014407 3940170685876 4171945432104 5910256028814 7880341371752 8865384043221 11820512057628 17730768086442 23641024115256 35461536172884 70923072345768