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10145023064415 = 32561101104934883
BaseRepresentation
bin1001001110100001001001…
…1111101111100101011111
31022220212002002201020120100
42103220102133233211133
52312204001401030130
633324320444352143
72064645062142261
oct223502237574537
938825062636510
1010145023064415
113261531048868
12117a20b845653
13587896593285
14271043903b31
15128d66b24c60
hex93a127ef95f

10145023064415 has 96 divisors (see below), whose sum is σ = 18067665470400. Its totient is φ = 5264112384000.

The previous prime is 10145023064381. The next prime is 10145023064503. The reversal of 10145023064415 is 51446032054101.

10145023064415 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 2 + 3 + 0 + 644 + 1 + 5 = 666.

It is not a de Polignac number, because 10145023064415 - 27 = 10145023064287 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10145023064415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290812564 + ... + 290847446.

It is an arithmetic number, because the mean of its divisors is an integer number (188204848650).

Almost surely, 210145023064415 is an apocalyptic number.

10145023064415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145023064415 is a deficient number, since it is larger than the sum of its proper divisors (7922642405985).

10145023064415 is a wasteful number, since it uses less digits than its factorization.

10145023064415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36105 (or 36102 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10145023064415 in words is "ten trillion, one hundred forty-five billion, twenty-three million, sixty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 61 101 183 303 305 505 549 909 915 1049 1515 2745 3147 4545 5245 6161 9441 15735 18483 30805 34883 47205 55449 63989 92415 104649 105949 174415 191967 277245 313947 317847 319945 523245 529745 575901 953541 959835 1569735 1589235 2127863 2879505 3523183 4767705 6383589 6462889 10569549 10639315 17615915 19150767 19388667 31708647 31917945 32314445 36592267 52847745 58166001 95753835 96943335 109776801 158543235 182961335 214914163 290830005 329330403 548884005 644742489 1074570815 1646652015 1934227467 2232128287 3223712445 3695818967 6696384861 9671137335 11087456901 11160641435 18479094835 20089154583 33262370703 33481924305 55437284505 100445772915 166311853515 225444956987 676334870961 1127224784935 2029004612883 3381674354805 10145023064415