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84002342456403 = 327711231148110301
BaseRepresentation
bin10011000110011001010001…
…110010000100110001010011
3102000102112201200021211122200
4103012121101302010301103
542002243244132101103
6454354050545334243
723456653232513430
oct2306312162046123
9360375650254580
1084002342456403
112484721441a998
129508272637383
1337b4505049717
1416a5a41054b87
159aa1613a00a3
hex4c6651c84c53

84002342456403 has 96 divisors (see below), whose sum is σ = 140846575693824. Its totient is φ = 47250302400000.

The previous prime is 84002342456377. The next prime is 84002342456419. The reversal of 84002342456403 is 30465424320048.

84002342456403 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 234 + 2 + 4 + 5 + 6 + 403 = 666.

It is not a de Polignac number, because 84002342456403 - 26 = 84002342456339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84002342455403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8154770353 + ... + 8154780653.

It is an arithmetic number, because the mean of its divisors is an integer number (1467151830144).

Almost surely, 284002342456403 is an apocalyptic number.

84002342456403 is a deficient number, since it is larger than the sum of its proper divisors (56844233237421).

84002342456403 is a wasteful number, since it uses less digits than its factorization.

84002342456403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097 (or 13094 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 84002342456403 in words is "eighty-four trillion, two billion, three hundred forty-two million, four hundred fifty-six thousand, four hundred three".

Divisors: 1 3 7 9 21 63 71 213 497 639 1231 1481 1491 3693 4443 4473 8617 10301 10367 11079 13329 25851 30903 31101 72107 77553 87401 92709 93303 105151 216321 262203 315453 611807 648963 731371 736057 786609 946359 1823111 1835421 2194113 2208171 5119597 5469333 5506263 6582339 6624513 12680531 12761777 15255781 15358791 16407999 38041593 38285331 45767343 46076373 88763717 106790467 114124779 114855993 129440881 137302029 266291151 320371401 388322643 798873453 900317701 906086167 961114203 1083160451 1164967929 2700953103 2718258501 3249481353 6302223907 7582123157 8102859309 8154775503 9748444059 18779866411 18906671721 22746369471 56339599233 56720015163 68239108413 131459064877 169018797699 394377194631 1183131583893 1333370515181 4000111545543 9333593606267 12000334636629 28000780818801 84002342456403