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501105213045 = 335291376431453
BaseRepresentation
bin1110100101011000011…
…00101011111001110101
31202220102212212100112000
413102230030223321311
531202230413304140
61022112103445513
751126566013663
oct7225414537165
91686385770460
10501105213045
11183576913408
128114b156899
133833c1054a8
141a379d1bc33
15d07cb98a30
hex74ac32be75

501105213045 has 128 divisors (see below), whose sum is σ = 930383193600. Its totient is φ = 255582480384.

The previous prime is 501105213043. The next prime is 501105213067. The reversal of 501105213045 is 540312501105.

501105213045 is a `hidden beast` number, since 501 + 105 + 2 + 13 + 0 + 45 = 666.

It is not a de Polignac number, because 501105213045 - 21 = 501105213043 is a prime.

It is a super-2 number, since 2×5011052130452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501105213043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344875539 + ... + 344876991.

It is an arithmetic number, because the mean of its divisors is an integer number (7268618700).

Almost surely, 2501105213045 is an apocalyptic number.

It is an amenable number.

501105213045 is a deficient number, since it is larger than the sum of its proper divisors (429277980555).

501105213045 is a wasteful number, since it uses less digits than its factorization.

501105213045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 501105213045 in words is "five hundred one billion, one hundred five million, two hundred thirteen thousand, forty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 137 145 261 411 435 643 685 783 1233 1305 1453 1929 2055 3215 3699 3915 3973 4359 5787 6165 7265 9645 11919 13077 17361 18495 18647 19865 21795 28935 35757 39231 42137 55941 59595 65385 86805 88091 93235 107271 126411 167823 178785 196155 199061 210685 264273 279705 379233 440455 503469 536355 597183 632055 792819 839115 934279 995305 1137699 1321365 1791549 1896165 2378457 2517345 2554639 2802837 2985915 3964095 4671395 5374647 5688495 5772769 7663917 8408511 8957745 11892285 12773195 14014185 17318307 22991751 25225533 26873235 27094091 28863845 38319585 42042555 51954921 68975253 81282273 86591535 114958755 126127665 127996223 135470455 155864763 243846819 259774605 344876265 383988669 406411365 639981115 731540457 779323815 1151966007 1219234095 1919943345 3455898021 3657702285 3711890467 5759830035 11135671401 17279490105 18559452335 33407014203 55678357005 100221042609 167035071015 501105213045