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13104411342435 = 325747885134167
BaseRepresentation
bin1011111010110001101111…
…0010000111011001100011
31201101202202221212021201100
42332230123302013121203
53204200313300424220
643512030010005443
72521522346355510
oct276543362073143
951352687767640
1013104411342435
1141a2605631746
121577880a16883
1374098239c74a
14334384cb4307
1517ad20cead90
hexbeb1bc87663

13104411342435 has 48 divisors (see below), whose sum is σ = 26511538599936. Its totient is φ = 5863128715584.

The previous prime is 13104411342419. The next prime is 13104411342437. The reversal of 13104411342435 is 53424311440131.

13104411342435 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 113 + 4 + 2 + 435 = 666.

It is not a de Polignac number, because 13104411342435 - 24 = 13104411342419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13104411342435.

It is not an unprimeable number, because it can be changed into a prime (13104411342437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442552279 + ... + 442581888.

It is an arithmetic number, because the mean of its divisors is an integer number (552323720832).

Almost surely, 213104411342435 is an apocalyptic number.

13104411342435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13104411342435 is an abundant number, since it is smaller than the sum of its proper divisors (13407127257501).

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

13104411342435 is a wasteful number, since it uses less digits than its factorization.

13104411342435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885134232 (or 885134229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13104411342435 its reverse (53424311440131), we get a palindrome (66528722782566).

The spelling of 13104411342435 in words is "thirteen trillion, one hundred four billion, four hundred eleven million, three hundred forty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 315 329 423 705 987 1645 2115 2961 4935 14805 885134167 2655402501 4425670835 6195939169 7966207503 13277012505 18587817507 30979695845 39831037515 41601305849 55763452521 92939087535 124803917547 208006529245 278817262605 291209140943 374411752641 624019587735 873627422829 1456045704715 1872058763205 2620882268487 4368137114145 13104411342435