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20236846464 = 273313144699
BaseRepresentation
bin10010110110001101…
…011100010110000000
31221020100012022112000
4102312031130112000
5312421113041324
613144025504000
71314326233242
oct226615342600
957210168460
1020236846464
1186451992aa
123b09342000
131ba6793283
14d9d93a092
157d69529c9
hex4b635c580

20236846464 has 128 divisors (see below), whose sum is σ = 60184080000. Its totient is φ = 6693972480.

The previous prime is 20236846463. The next prime is 20236846471. The reversal of 20236846464 is 46464863202.

20236846464 is a `hidden beast` number, since 202 + 368 + 46 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×202368464643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20236846463) 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, 430387 + ... + 475085.

It is an arithmetic number, because the mean of its divisors is an integer number (470188125).

Almost surely, 220236846464 is an apocalyptic number.

20236846464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20236846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30092040000).

20236846464 is an abundant number, since it is smaller than the sum of its proper divisors (39947233536).

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

20236846464 is a wasteful number, since it uses less digits than its factorization.

20236846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44853 (or 44835 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

It can be divided in two parts, 202368 and 46464, that added together give a 5-th power (248832 = 125).

The spelling of 20236846464 in words is "twenty billion, two hundred thirty-six million, eight hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 262 288 384 393 432 524 576 786 864 1048 1152 1179 1572 1728 2096 2358 3144 3456 3537 4192 4716 6288 7074 8384 9432 12576 14148 16768 18864 25152 28296 37728 44699 50304 56592 75456 89398 113184 134097 150912 178796 226368 268194 357592 402291 452736 536388 715184 804582 1072776 1206873 1430368 1609164 2145552 2413746 2860736 3218328 4291104 4827492 5721472 5855569 6436656 8582208 9654984 11711138 12873312 17164416 17566707 19309968 23422276 25746624 35133414 38619936 46844552 51493248 52700121 70266828 77239872 93689104 105400242 140533656 154479744 158100363 187378208 210800484 281067312 316200726 374756416 421600968 562134624 632401452 749512832 843201936 1124269248 1264802904 1686403872 2248538496 2529605808 3372807744 5059211616 6745615488 10118423232 20236846464