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204393284940 = 223513401653473
BaseRepresentation
bin1011111001011011001…
…0100000010101001100
3201112120112000200110110
42332112302200111030
511322044140104230
6233521425240020
720524025153625
oct2762662402514
9645515020413
10204393284940
11797567541a9
1233742a93010
1316374570870
149c6d76ca4c
1554b3ed34b0
hex2f96ca054c

204393284940 has 96 divisors (see below), whose sum is σ = 617862280896. Its totient is φ = 50186649600.

The previous prime is 204393284939. The next prime is 204393284957. The reversal of 204393284940 is 49482393402.

It is a super-3 number, since 3×2043932849403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 204393284940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13957 + ... + 639516.

It is an arithmetic number, because the mean of its divisors is an integer number (6436065426).

Almost surely, 2204393284940 is an apocalyptic number.

204393284940 is a gapful number since it is divisible by the number (20) 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 204393284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308931140448).

204393284940 is an abundant number, since it is smaller than the sum of its proper divisors (413468995956).

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

204393284940 is a wasteful number, since it uses less digits than its factorization.

204393284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653899 (or 653897 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 204393284940 in words is "two hundred four billion, three hundred ninety-three million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 401 780 802 1203 1604 2005 2406 4010 4812 5213 6015 8020 10426 12030 15639 20852 24060 26065 31278 52130 62556 78195 104260 156390 312780 653473 1306946 1960419 2613892 3267365 3920838 6534730 7841676 8495149 9802095 13069460 16990298 19604190 25485447 33980596 39208380 42475745 50970894 84951490 101941788 127427235 169902980 254854470 262042673 509708940 524085346 786128019 1048170692 1310213365 1572256038 2620426730 3144512076 3406554749 3930640095 5240853460 6813109498 7861280190 10219664247 13626218996 15722560380 17032773745 20439328494 34065547490 40878656988 51098321235 68131094980 102196642470 204393284940