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51205164650145 = 3451117096725491
BaseRepresentation
bin10111010010010001000011…
…01001100100111010100001
320201022011110222001210020000
423221020201221210322201
523202421134122301040
6300523154454210213
713533310500056202
oct1351104151447241
9221264428053200
1051205164650145
1115351a96590290
1258abaa2053969
13227581acc778c
14c904b3a135a9
155dbe6ce77130
hex2e9221a64ea1

51205164650145 has 80 divisors (see below), whose sum is σ = 100193151579840. Its totient is φ = 24812215747200.

The previous prime is 51205164650131. The next prime is 51205164650153. The reversal of 51205164650145 is 54105646150215.

51205164650145 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 516 + 46 + 50 + 1 + 45 = 666.

51205164650145 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51205164650145 - 221 = 51205162552993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 51205164650145.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4250850 + ... + 10976340.

It is an arithmetic number, because the mean of its divisors is an integer number (1252414394748).

Almost surely, 251205164650145 is an apocalyptic number.

51205164650145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51205164650145 is a deficient number, since it is larger than the sum of its proper divisors (48987986929695).

51205164650145 is a wasteful number, since it uses less digits than its factorization.

51205164650145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727228 (or 6727219 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 51205164650145 in words is "fifty-one trillion, two hundred five billion, one hundred sixty-four million, six hundred fifty thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 1709 4455 5127 8545 15381 18799 25635 46143 56397 76905 93995 138429 169191 230715 281985 507573 692145 845955 1522719 2537865 6725491 7613595 20176473 33627455 60529419 73980401 100882365 181588257 221941203 302647095 369902005 544764771 665823609 907941285 1109706015 1997470827 2723823855 3329118045 5992412481 9987354135 11493864119 29962062405 34481592357 57469320595 103444777071 126432505309 172407961785 310334331213 379297515927 517223885355 632162526545 931002993639 1137892547781 1551671656065 1896487579635 3413677643343 4655014968195 5689462738905 10241032930029 17068388216715 51205164650145