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51060364412130 = 23251795415858563
BaseRepresentation
bin10111001110000011010101…
…11000100000010011100010
320200210022201120212112211200
423213001222320200103202
523143033111242142010
6300332450234422030
713516663300255653
oct1347015270402342
9220708646775750
1051060364412130
11152a664062a297
125887a10891916
132264c82aa9a78
14c87498a8352a
155d82e5b0ccc0
hex2e706ae204e2

51060364412130 has 96 divisors (see below), whose sum is σ = 133745391898560. Its totient is φ = 13514999506560.

The previous prime is 51060364412089. The next prime is 51060364412137. The reversal of 51060364412130 is 3121446306015.

51060364412130 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 0 + 3 + 644 + 1 + 2 + 1 + 3 + 0 = 666.

It is a super-3 number, since 3×510603644121303 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (51060364412137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5786229 + ... + 11644791.

It is an arithmetic number, because the mean of its divisors is an integer number (1393181165610).

Almost surely, 251060364412130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51060364412130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66872695949280).

51060364412130 is an abundant number, since it is smaller than the sum of its proper divisors (82685027486430).

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

51060364412130 is a wasteful number, since it uses less digits than its factorization.

51060364412130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859296 (or 5859293 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51060364412130 in words is "fifty-one trillion, sixty billion, three hundred sixty-four million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 541 895 1074 1082 1611 1623 1790 2685 2705 3222 3246 4869 5370 5410 8055 8115 9738 16110 16230 24345 48690 96839 193678 290517 484195 581034 871551 968390 1452585 1743102 2905170 4357755 5858563 8715510 11717126 17575689 29292815 35151378 52727067 58585630 87878445 105454134 175756890 263635335 527270670 1048682777 2097365554 3146048331 3169482583 5243413885 6292096662 6338965166 9438144993 9508447749 10486827770 15730241655 15847412915 18876289986 19016895498 28525343247 31460483310 31694825830 47190724965 47542238745 57050686494 94381449930 95084477490 142626716235 285253432470 567337382357 1134674764714 1702012147071 2836686911785 3404024294142 5106036441213 5673373823570 8510060735355 10212072882426 17020121470710 25530182206065 51060364412130