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20352654764672 = 271736203148171
BaseRepresentation
bin1001010000010101110001…
…10000011110101010000000
32200001200202111121201112012
410220022320300132222000
510131424214104432142
6111141514105352052
74200300521041556
oct450127060365200
980050674551465
1020352654764672
11653757002737a
122348592a98628
13b48329b8b319
14505106509bd6
15254644ed6882
hex1282b8c1ea80

20352654764672 has 64 divisors (see below), whose sum is σ = 40787525734560. Its totient is φ = 10115805342720.

The previous prime is 20352654764639. The next prime is 20352654764683. The reversal of 20352654764672 is 27646745625302.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137285147 + ... + 137433317.

Almost surely, 220352654764672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352654764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20393762867280).

20352654764672 is an abundant number, since it is smaller than the sum of its proper divisors (20434870969888).

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

20352654764672 is a wasteful number, since it uses less digits than its factorization.

20352654764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154561 (or 154549 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 59.

The spelling of 20352654764672 in words is "twenty trillion, three hundred fifty-two billion, six hundred fifty-four million, seven hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 6203 11072 12406 22144 24812 49624 99248 148171 198496 296342 396992 592684 793984 1073119 1185368 2146238 2370736 4292476 4741472 8584952 9482944 17169904 18965888 25633583 34339808 51267166 68679616 102534332 137359232 205068664 410137328 820274656 919104713 1640549312 1838209426 3281098624 3676418852 7352837704 14705675408 29411350816 58822701632 117645403264 159005115349 318010230698 636020461396 1272040922792 2544081845584 5088163691168 10176327382336 20352654764672