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20202547296 = 2534114233607
BaseRepresentation
bin10010110100001010…
…100110100001100000
31221010221122201220110
4102310022212201200
5312333323003141
613140402411320
71313431550541
oct226412464140
957127581813
1020202547296
1186278a1888
123ab9960b40
131b9c6444c9
14d9916c4c8
157d3929e16
hex4b42a6860

20202547296 has 96 divisors (see below), whose sum is σ = 54378390528. Its totient is φ = 6563496960.

The previous prime is 20202547291. The next prime is 20202547307. The reversal of 20202547296 is 69274520202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202547291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5599125 + ... + 5602731.

It is an arithmetic number, because the mean of its divisors is an integer number (566441568).

Almost surely, 220202547296 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 20202547296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189195264).

20202547296 is an abundant number, since it is smaller than the sum of its proper divisors (34175843232).

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

20202547296 is a wasteful number, since it uses less digits than its factorization.

20202547296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 20202547296 in words is "twenty billion, two hundred two million, five hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1423 1968 2846 3607 3936 4269 5692 7214 8538 10821 11384 14428 17076 21642 22768 28856 34152 43284 45536 57712 58343 68304 86568 115424 116686 136608 147887 173136 175029 233372 295774 346272 350058 443661 466744 591548 700116 887322 933488 1183096 1400232 1774644 1866976 2366192 2800464 3549288 4732384 5132761 5600928 7098576 10265522 14197152 15398283 20531044 30796566 41062088 61593132 82124176 123186264 164248352 210443201 246372528 420886402 492745056 631329603 841772804 1262659206 1683545608 2525318412 3367091216 5050636824 6734182432 10101273648 20202547296