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742022232527745 = 335131373086165627
BaseRepresentation
bin1010100010110111011000001…
…1100101011101001110000001
310121022021122002012101222212000
42220231312003211131032001
51234224243013011341440
611150052150244454213
7312203223436404411
oct25055660345351601
93538248065358760
10742022232527745
111a5481952867144
126b280a683aa369
1325b0651c839340
14d1340d39d8641
155abba7b3e7730
hex2a2dd8395d381

742022232527745 has 64 divisors (see below), whose sum is σ = 1430993278391040. Its totient is φ = 362636805717504.

The previous prime is 742022232527707. The next prime is 742022232527783. The reversal of 742022232527745 is 547725232220247.

It is a happy number.

742022232527745 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 2 + 2 + 2 + 325 + 277 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (742022232527707) and next prime (742022232527783).

It is not a de Polignac number, because 742022232527745 - 216 = 742022232462209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 742022232527691 and 742022232527700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1542842379 + ... + 1543323248.

It is an arithmetic number, because the mean of its divisors is an integer number (22359269974860).

Almost surely, 2742022232527745 is an apocalyptic number.

It is an amenable number.

742022232527745 is a deficient number, since it is larger than the sum of its proper divisors (688971045863295).

742022232527745 is a wasteful number, since it uses less digits than its factorization.

742022232527745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086165791 (or 3086165785 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 54.

The spelling of 742022232527745 in words is "seven hundred forty-two trillion, twenty-two billion, two hundred thirty-two million, five hundred twenty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 137 195 351 411 585 685 1233 1755 1781 2055 3699 5343 6165 8905 16029 18495 26715 48087 80145 240435 3086165627 9258496881 15430828135 27775490643 40120153151 46292484405 83326471929 120360459453 138877453215 200600765755 361081378359 416632359645 422804690899 601802297265 1083244135077 1268414072697 1805406891795 2114023454495 3805242218091 5416220675385 5496460981687 6342070363485 11415726654273 16489382945061 19026211090455 27482304908435 49468148835183 57078633271365 82446914725305 148404446505549 247340744175915 742022232527745