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3668858641152 = 2833230392
BaseRepresentation
bin110101011000111001000…
…001000001101100000000
3110222201222001210201211000
4311120321001001230000
5440102310303004102
611445241141252000
7526031510620665
oct65307101015400
913881861721730
103668858641152
111194a55068571
124b3071404000
13207c83302b93
14c9806369a6c
156567e8bc01c
hex35639041b00

3668858641152 has 108 divisors (see below), whose sum is σ = 10849931386840. Its totient is φ = 1222899798528.

The previous prime is 3668858641103. The next prime is 3668858641153. The reversal of 3668858641152 is 2511468588663.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3668858641152 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 8 + 586 + 41 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 3668858641152.

It is not an unprimeable number, because it can be changed into a prime (3668858641153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159234049 + ... + 159257087.

Almost surely, 23668858641152 is an apocalyptic number.

3668858641152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3668858641152 is an abundant number, since it is smaller than the sum of its proper divisors (7181072745688).

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

3668858641152 is an frugal number, since it uses more digits than its factorization.

3668858641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46103 (or 23044 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 3668858641152 in words is "three trillion, six hundred sixty-eight billion, eight hundred fifty-eight million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 23039 46078 69117 92156 138234 184312 207351 276468 368624 414702 552936 622053 737248 829404 1105872 1244106 1474496 1658808 2211744 2488212 2948992 3317616 4423488 4976424 5897984 6635232 8846976 9952848 13270464 17693952 19905696 26540928 39811392 53081856 79622784 159245568 530795521 1061591042 1592386563 2123182084 3184773126 4246364168 4777159689 6369546252 8492728336 9554319378 12739092504 14331479067 16985456672 19108638756 25478185008 28662958134 33970913344 38217277512 50956370016 57325916268 67941826688 76434555024 101912740032 114651832536 135883653376 152869110048 203825480064 229303665072 305738220096 407650960128 458607330144 611476440192 917214660288 1222952880384 1834429320576 3668858641152