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8075413563348 = 223192231373115679
BaseRepresentation
bin111010110000011010000…
…1010000010011111010100
31001121000001110022100120010
41311200310022002133110
52024301421333011343
625101443242240220
71462300163505345
oct165406412023724
931530043270503
108075413563348
1126338444815aa
12aa509b7b6070
1346767b77a421
141dcbd024c0cc
15e00d796ed33
hex758342827d4

8075413563348 has 96 divisors (see below), whose sum is σ = 19937975500800. Its totient is φ = 2536824092544.

The previous prime is 8075413563317. The next prime is 8075413563379. The reversal of 8075413563348 is 8433653145708.

It is an interprime number because it is at equal distance from previous prime (8075413563317) and next prime (8075413563379).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69750973 + ... + 69866651.

It is an arithmetic number, because the mean of its divisors is an integer number (207687244800).

Almost surely, 28075413563348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8075413563348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968987750400).

8075413563348 is an abundant number, since it is smaller than the sum of its proper divisors (11862561937452).

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

8075413563348 is a wasteful number, since it uses less digits than its factorization.

8075413563348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117301 (or 117299 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 8075413563348 in words is "eight trillion, seventy-five billion, four hundred thirteen million, five hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 446 669 892 1338 1373 2676 2746 4119 4237 5492 8238 8474 12711 16476 16948 25422 26087 50844 52174 78261 104348 115679 156522 231358 306179 313044 347037 462716 612358 694074 918537 1224716 1388148 1837074 2197901 3674148 4395802 5817401 6593703 8791604 11634802 13187406 17452203 23269604 25796417 26374812 34904406 51592834 69808812 77389251 103185668 154778502 158827267 309557004 317654534 476481801 490131923 635309068 952963602 980263846 1470395769 1905927204 1960527692 2940791538 3017718073 5881583076 6035436146 9053154219 12070872292 18106308438 35418480541 36212616876 70836961082 106255441623 141673922164 212510883246 425021766492 672951130279 1345902260558 2018853390837 2691804521116 4037706781674 8075413563348