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3480704878035 = 3571110143368909
BaseRepresentation
bin110010101001101010001…
…011011000010111010011
3110022202022022022020022210
4302221222023120113103
5424011440422044120
611223002545203203
7506321053205520
oct62515213302723
913282268266283
103480704878035
111122182186490
12482701030503
131c32c932c838
14c06776bc147
156081b443ce0
hex32a6a2d85d3

3480704878035 has 128 divisors (see below), whose sum is σ = 7028370155520. Its totient is φ = 1428876288000.

The previous prime is 3480704878033. The next prime is 3480704878043. The reversal of 3480704878035 is 5308784070843.

It is a happy number.

3480704878035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3480704878035 - 21 = 3480704878033 is a prime.

It is a super-2 number, since 2×34807048780352 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480704878033) 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, 50477161 + ... + 50546069.

It is an arithmetic number, because the mean of its divisors is an integer number (54909141840).

Almost surely, 23480704878035 is an apocalyptic number.

3480704878035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3480704878035 is an abundant number, since it is smaller than the sum of its proper divisors (3547665277485).

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

3480704878035 is a wasteful number, since it uses less digits than its factorization.

3480704878035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69469.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 3480704878035 in words is "three trillion, four hundred eighty billion, seven hundred four million, eight hundred seventy-eight thousand, thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 101 105 165 231 303 385 433 505 707 1111 1155 1299 1515 2121 2165 3031 3333 3535 4763 5555 6495 7777 9093 10605 14289 15155 16665 23331 23815 33341 38885 43733 45465 68909 71445 100023 116655 131199 166705 206727 218665 306131 344545 481063 482363 500115 655995 757999 918393 1033635 1443189 1447089 1530655 2273997 2405315 2411815 3367441 3789995 4591965 5305993 6959809 7215945 7235445 10102323 11369985 15917979 16837205 20879427 26529965 29837597 34799045 48718663 50511615 76557899 79589895 89512791 104397135 146155989 149187985 208863179 229673697 243593315 328213567 382789495 447563955 535905293 626589537 730779945 984640701 1044315895 1148368485 1607715879 1641067835 2297494969 2679526465 3013597297 3132947685 4923203505 6892484907 8038579395 9040791891 11487474845 15067986485 21095181079 33149570267 34462424535 45203959455 63285543237 99448710801 105475905395 165747851335 232046991869 316427716185 497243554005 696140975607 1160234959345 3480704878035