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10012002020064 = 2533111053451391
BaseRepresentation
bin1001000110110001100111…
…0100101110101011100000
31022110010201122011001012000
42101230121310232223200
52303014040004120224
633143241130004000
72052225513003402
oct221543164565340
938403648131160
1010012002020064
113210080145370
121158487276600
13578187849645
14268825114b72
1512567d9620c9
hex91b19d2eae0

10012002020064 has 96 divisors (see below), whose sum is σ = 31856370094080. Its totient is φ = 3033940003200.

The previous prime is 10012002020063. The next prime is 10012002020149. The reversal of 10012002020064 is 46002020021001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012002020063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526716192 + ... + 526735199.

It is an arithmetic number, because the mean of its divisors is an integer number (331837188480).

Almost surely, 210012002020064 is an apocalyptic number.

It is an amenable number.

10012002020064 is an abundant number, since it is smaller than the sum of its proper divisors (21844368074016).

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

10012002020064 is a wasteful number, since it uses less digits than its factorization.

10012002020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053451421 (or 1053451407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012002020064 its reverse (46002020021001), we get a palindrome (56014022041065).

The spelling of 10012002020064 in words is "ten trillion, twelve billion, two million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1053451391 2106902782 3160354173 4213805564 6320708346 8427611128 9481062519 11587965301 12641416692 16855222256 18962125038 23175930602 25282833384 28443187557 33710444512 34763895903 37924250076 46351861204 50565666768 56886375114 69527791806 75848500152 92703722408 101131333536 104291687709 113772750228 139055583612 151697000304 185407444816 208583375418 227545500456 278111167224 303394000608 312875063127 370814889632 417166750836 455091000912 556222334448 625750126254 834333501672 910182001824 1112444668896 1251500252508 1668667003344 2503000505016 3337334006688 5006001010032 10012002020064