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1352503364745 = 3513414716092237
BaseRepresentation
bin10011101011100111011…
…110111000110010001001
311210022001021200201200210
4103223213132320302021
5134124411330132440
62513155332551333
7166500202625541
oct23534736706211
94708037621623
101352503364745
11481658987225
1219a15a782549
139a7046a3c80
1449666564321
15252ad45ca80
hex13ae77b8c89

1352503364745 has 128 divisors (see below), whose sum is σ = 2440707655680. Its totient is φ = 635107000320.

The previous prime is 1352503364717. The next prime is 1352503364809. The reversal of 1352503364745 is 5474633052531.

It is not a de Polignac number, because 1352503364745 - 226 = 1352436255881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1352503364694 and 1352503364703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604604767 + ... + 604607003.

It is an arithmetic number, because the mean of its divisors is an integer number (19068028560).

Almost surely, 21352503364745 is an apocalyptic number.

1352503364745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352503364745 is a deficient number, since it is larger than the sum of its proper divisors (1088204290935).

1352503364745 is a wasteful number, since it uses less digits than its factorization.

1352503364745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955.

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 1352503364745 in words is "one trillion, three hundred fifty-two billion, five hundred three million, three hundred sixty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 13 15 39 41 47 65 123 141 195 205 235 533 611 615 705 1599 1609 1833 1927 2237 2665 3055 4827 5781 6711 7995 8045 9165 9635 11185 20917 24135 25051 28905 29081 33555 62751 65969 75153 75623 87243 91717 104585 105139 125255 145405 197907 226869 275151 313755 315417 329845 375765 378115 436215 458585 525695 857597 983099 989535 1134345 1192321 1366807 1375755 1577085 2572791 2949297 3100543 3576963 3599333 4100421 4287985 4310699 4915495 5961605 6834035 9301629 10797999 12863955 12932097 14746485 15502715 17884815 17996665 20502105 21553495 40307059 46508145 46791329 53989995 56039087 64660485 120921177 140373987 147572653 168117261 169168651 201535295 233956645 280195435 442717959 507505953 604605885 701869935 737863265 840586305 845843255 1918444489 2199192463 2213589795 2537529765 5755333467 6597577389 6935914691 9592222445 10995962315 20807744073 28776667335 32987886945 34679573455 90166890983 104038720365 270500672949 450834454915 1352503364745