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4202246002644 = 22321737657182341
BaseRepresentation
bin111101001001101001011…
…000010101011111010100
3112212201201202020010211200
4331021221120111133110
51022322144434041034
612534252443432500
7612413400444564
oct75115130253724
915781652203750
104202246002644
1113801873528a8
1257a50b825730
13246368535051
14107565834da4
157449b6d6a99
hex3d2696157d4

4202246002644 has 72 divisors (see below), whose sum is σ = 11247548188968. Its totient is φ = 1318309447680.

The previous prime is 4202246002639. The next prime is 4202246002667. The reversal of 4202246002644 is 4462006422024.

4202246002644 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 4 + 6 + 0 + 0 + 2 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 666296712900 + 3535949289744 = 816270^2 + 1880412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4202246002599 and 4202246002608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22954914 + ... + 23137254.

It is an arithmetic number, because the mean of its divisors is an integer number (156215947069).

Almost surely, 24202246002644 is an apocalyptic number.

It is an amenable number.

4202246002644 is an abundant number, since it is smaller than the sum of its proper divisors (7045302186324).

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

4202246002644 is a wasteful number, since it uses less digits than its factorization.

4202246002644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220025 (or 220020 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4202246002644 in words is "four trillion, two hundred two billion, two hundred forty-six million, two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 37657 75314 112971 150628 182341 225942 338913 364682 451884 547023 640169 677826 729364 1094046 1280338 1355652 1641069 1920507 2188092 2560676 3099797 3282138 3841014 5761521 6199594 6564276 7682028 9299391 11523042 12399188 18598782 23046084 27898173 37197564 55796346 111592692 6866415037 13732830074 20599245111 27465660148 41198490222 61797735333 82396980444 116729055629 123595470666 233458111258 247190941332 350187166887 466916222516 700374333774 1050561500661 1400748667548 2101123001322 4202246002644