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84158003886 = 231129190723057
BaseRepresentation
bin100111001100000110…
…1010011101010101110
322001020010010120000220
41032120031103222232
52334323422111021
6102354530032210
76036341141625
oct1163015235256
9261203116026
1084158003886
1132766aa9a30
1214388418666
137c226c8548
14410509c6bc
1522c8554cc6
hex1398353aae

84158003886 has 64 divisors (see below), whose sum is σ = 190056948480. Its totient is φ = 24609052160.

The previous prime is 84158003873. The next prime is 84158003899. The reversal of 84158003886 is 68830085148.

It is an interprime number because it is at equal distance from previous prime (84158003873) and next prime (84158003899).

It is a super-2 number, since 2×841580038862 (a number of 23 digits) contains 22 as substring.

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, 3638470 + ... + 3661526.

It is an arithmetic number, because the mean of its divisors is an integer number (2969639820).

Almost surely, 284158003886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84158003886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95028474240).

84158003886 is an abundant number, since it is smaller than the sum of its proper divisors (105898944594).

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

84158003886 is a wasteful number, since it uses less digits than its factorization.

84158003886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25009.

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 84158003886 in words is "eighty-four billion, one hundred fifty-eight million, three thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1907 1914 3814 5721 11442 20977 23057 41954 46114 55303 62931 69171 110606 125862 138342 165909 253627 331818 507254 608333 668653 760881 1216666 1337306 1521762 1824999 2005959 3649998 4011918 7355183 14710366 22065549 43969699 44131098 87939398 131909097 263818194 483666689 967333378 1275121271 1451000067 2550242542 2902000134 3825363813 7650727626 14026333981 28052667962 42079001943 84158003886