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45106404016410 = 232511251181522009
BaseRepresentation
bin10100100000110001001110…
…01100000100000100011010
312220201010111211222012222100
422100120213030010010122
521403010403412011120
6235533332420104230
712333554512033152
oct1220304714040432
9186633454865870
1045106404016410
1113410578166a80
125085b0b535076
131c22691b53989
14b1d23961d762
155334c39b9490
hex29062730411a

45106404016410 has 96 divisors (see below), whose sum is σ = 128447878628160. Its totient is φ = 10891320480000.

The previous prime is 45106404016409. The next prime is 45106404016433. The reversal of 45106404016410 is 1461040460154.

45106404016410 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 6 + 4 + 0 + 4 + 0 + 1 + 641 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90512515 + ... + 91009494.

It is an arithmetic number, because the mean of its divisors is an integer number (1337998735710).

Almost surely, 245106404016410 is an apocalyptic number.

45106404016410 is an abundant number, since it is smaller than the sum of its proper divisors (83341474611750).

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

45106404016410 is a wasteful number, since it uses less digits than its factorization.

45106404016410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181522284 (or 181522281 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 45106404016410 its reverse (1461040460154), we get a palindrome (46567444476564).

The spelling of 45106404016410 in words is "forty-five trillion, one hundred six billion, four hundred four million, sixteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 251 330 495 502 753 990 1255 1506 2259 2510 2761 3765 4518 5522 7530 8283 11295 13805 16566 22590 24849 27610 41415 49698 82830 124245 248490 181522009 363044018 544566027 907610045 1089132054 1633698081 1815220090 1996742099 2722830135 3267396162 3993484198 5445660270 5990226297 8168490405 9983710495 11980452594 16336980810 17970678891 19967420990 29951131485 35941357782 45562024259 59902262970 89853394455 91124048518 136686072777 179706788910 227810121295 273372145554 410058218331 455620242590 501182266849 683430363885 820116436662 1002364533698 1366860727770 1503546800547 2050291091655 2505911334245 3007093601094 4100582183310 4510640401641 5011822668490 7517734002735 9021280803282 15035468005470 22553202008205 45106404016410