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5475372735745 = 51122910124112821
BaseRepresentation
bin100111110101101010110…
…1001011001110100000001
3201101102220010210012011101
41033223111221121310001
51204202030410020440
615351203532014401
71103403561226333
oct117532551316401
921342803705141
105475372735745
111821102191900
127451b7301401
1330942cc92413
1414d01bd2b453
159766125c69a
hex4fad5a59d01

5475372735745 has 96 divisors (see below), whose sum is σ = 7576968057120. Its totient is φ = 3790617600000.

The previous prime is 5475372735739. The next prime is 5475372735751.

5475372735745 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5475372735739) and next prime (5475372735751).

It can be written as a sum of positive squares in 16 ways, for example, as 478466874369 + 4996905861376 = 691713^2 + 2235376^2 .

It is not a de Polignac number, because 5475372735745 - 217 = 5475372604673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427056435 + ... + 427069255.

It is an arithmetic number, because the mean of its divisors is an integer number (78926750595).

Almost surely, 25475372735745 is an apocalyptic number.

5475372735745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5475372735745 is a deficient number, since it is larger than the sum of its proper divisors (2101595321375).

5475372735745 is a wasteful number, since it uses less digits than its factorization.

5475372735745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13219 (or 13208 counting only the distinct ones).

The product of its digits is 432180000, while the sum is 64.

The spelling of 5475372735745 in words is "five trillion, four hundred seventy-five billion, three hundred seventy-two million, seven hundred thirty-five thousand, seven hundred forty-five".

Divisors: 1 5 11 29 55 101 121 145 241 319 505 605 1111 1205 1595 2651 2929 3509 5555 6989 12221 12821 13255 14645 17545 24341 29161 32219 34945 61105 64105 76879 121705 141031 145805 161095 267751 354409 371809 384395 705155 705889 845669 1294921 1338755 1551341 1772045 1859045 2945261 3089861 3529445 4089899 4228345 6474605 7756705 7764779 14244131 14726305 15449305 20449495 33988471 37552709 38823895 44988889 71220655 85412569 89605969 156685441 169942355 187763545 224944445 312075961 373873181 413079799 427062845 448029845 783427205 985665659 1560379805 1869365905 2065398995 3432835571 4543877789 4928328295 9050202869 10842322249 17164177855 22719388945 37761191281 45251014345 54211611245 99552231559 188805956405 497761157795 1095074547149 5475372735745