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45367514677848 = 23311677757330653
BaseRepresentation
bin10100101000010111100101…
…00110001100001001011000
312221122002111002202011021210
422110023302212030021120
521421300132224142343
6240253314251503120
712361460210033646
oct1224136246141130
9187562432664253
1045367514677848
1113501289341650
125108640a57aa0
131c411a4a4463c
14b2bb298aa196
1553a1a6e31333
hex2942f298c258

45367514677848 has 128 divisors (see below), whose sum is σ = 125592864318720. Its totient is φ = 13540754895360.

The previous prime is 45367514677811. The next prime is 45367514677879. The reversal of 45367514677848 is 84877641576354.

It is a super-2 number, since 2×453675146778482 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45367514677848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137040490 + ... + 137371142.

It is an arithmetic number, because the mean of its divisors is an integer number (981194252490).

Almost surely, 245367514677848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45367514677848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62796432159360).

45367514677848 is an abundant number, since it is smaller than the sum of its proper divisors (80225349640872).

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

45367514677848 is a wasteful number, since it uses less digits than its factorization.

45367514677848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338497 (or 338493 counting only the distinct ones).

The product of its digits is 3793305600, while the sum is 75.

The spelling of 45367514677848 in words is "forty-five trillion, three hundred sixty-seven billion, five hundred fourteen million, six hundred seventy-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 7757 8844 15514 17688 23271 31028 46542 62056 85327 93084 170654 186168 255981 330653 341308 511962 519719 661306 682616 991959 1023924 1039438 1322612 1559157 1983918 2047848 2078876 2645224 3118314 3637183 3967836 4157752 5716909 6236628 7274366 7935672 10911549 11433818 12473256 14548732 17150727 21823098 22153751 22867636 29097464 34301454 43646196 44307502 45735272 66461253 68602908 87292392 88615004 132922506 137205816 177230008 243691261 265845012 487382522 531690024 731073783 974765044 1462147566 1949530088 2564875321 2924295132 5129750642 5848590264 7694625963 10259501284 15389251926 20519002568 28213628531 30778503852 56427257062 61557007704 84640885593 112854514124 169281771186 171846646507 225709028248 338563542372 343693293014 515539939521 677127084744 687386586028 1031079879042 1374773172056 1890313111577 2062159758084 3780626223154 4124319516168 5670939334731 7561252446308 11341878669462 15122504892616 22683757338924 45367514677848