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84712142004 = 22371819076143
BaseRepresentation
bin100111011100100111…
…1001011010010110100
322002122201211200121220
41032321033023102310
52341442302021004
6102525523110340
76056150216640
oct1167117132264
9262581750556
1084712142004
1132a20883116
1214501b123b0
137cb0457419
144158907c20
15230c013dd9
hex13b93cb4b4

84712142004 has 96 divisors (see below), whose sum is σ = 227434561536. Its totient is φ = 24039296640.

The previous prime is 84712141999. The next prime is 84712142027. The reversal of 84712142004 is 40024121748.

It is a super-2 number, since 2×847121420042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13786957 + ... + 13793099.

It is an arithmetic number, because the mean of its divisors is an integer number (2369110016).

Almost surely, 284712142004 is an apocalyptic number.

84712142004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84712142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113717280768).

84712142004 is an abundant number, since it is smaller than the sum of its proper divisors (142722419532).

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

84712142004 is a wasteful number, since it uses less digits than its factorization.

84712142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 84712142004 in words is "eighty-four billion, seven hundred twelve million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 907 1086 1267 1814 2172 2534 2721 3628 3801 5068 5442 6143 6349 7602 10884 12286 12698 15204 18429 19047 24572 25396 36858 38094 43001 73716 76188 86002 129003 164167 172004 258006 328334 492501 516012 656668 985002 1111883 1149169 1970004 2223766 2298338 3335649 3447507 4447532 4596676 5571701 6671298 6895014 7783181 11143402 13342596 13790028 15566362 16715103 22286804 23349543 31132724 33430206 39001907 46699086 66860412 78003814 93398172 117005721 156007628 234011442 468022884 1008477881 2016955762 3025433643 4033911524 6050867286 7059345167 12101734572 14118690334 21178035501 28237380668 42356071002 84712142004