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54315666362034 = 23371131142002993
BaseRepresentation
bin11000101100110010110011…
…11111111100111010110010
321010022112020011210122101000
430112121121333330322302
524104401441042041114
6311304134521022430
714304114563300520
oct1426313177747262
9233275204718330
1054315666362034
11163411657226a0
1261128a6924a16
13243cc39c588cc
14d5ac6c5ad310
15642d1d868e09
hex316659ffceb2

54315666362034 has 128 divisors (see below), whose sum is σ = 150968841154560. Its totient is φ = 14062601721600.

The previous prime is 54315666362029. The next prime is 54315666362053. The reversal of 54315666362034 is 43026366651345.

It is a super-2 number, since 2×543156663620342 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19708359 + ... + 22294634.

It is an arithmetic number, because the mean of its divisors is an integer number (1179444071520).

Almost surely, 254315666362034 is an apocalyptic number.

54315666362034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54315666362034 is an abundant number, since it is smaller than the sum of its proper divisors (96653174792526).

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

54315666362034 is a wasteful number, since it uses less digits than its factorization.

54315666362034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42003333 (or 42003327 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 54315666362034 in words is "fifty-four trillion, three hundred fifteen billion, six hundred sixty-six million, three hundred sixty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 311 378 462 594 622 693 933 1386 1866 2079 2177 2799 3421 4158 4354 5598 6531 6842 8397 10263 13062 16794 19593 20526 23947 30789 39186 47894 58779 61578 71841 92367 117558 143682 184734 215523 431046 646569 1293138 42002993 84005986 126008979 252017958 294020951 378026937 462032923 588041902 756053874 882062853 924065846 1134080811 1386098769 1764125706 2268161622 2646188559 2772197538 3234230461 4158296307 5292377118 6468460922 7938565677 8316592614 9702691383 12474888921 13062930823 15877131354 19405382766 24949777842 26125861646 29108074149 39188792469 58216148298 78377584938 87324222447 91440515761 117566377407 143692239053 174648444894 182881031522 235132754814 274321547283 287384478106 352699132221 431076717159 548643094566 705398264442 822964641849 862153434318 1005845673371 1293230151477 1645929283698 2011691346742 2468893925547 2586460302954 3017537020113 3879690454431 4937787851094 6035074040226 7759380908862 9052611060339 18105222120678 27157833181017 54315666362034