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204240580048 = 24317113034451
BaseRepresentation
bin1011111000110110101…
…1111110110111010000
3201112011212200110201201
42332031223332313100
511321241042030143
6233454332240544
720520162200101
oct2761553766720
9645155613651
10204240580048
117968853480a
12336bb910154
131634ba3573b
149c5737c3a8
1554a58bc64d
hex2f8dafedd0

204240580048 has 80 divisors (see below), whose sum is σ = 414645460992. Its totient is φ = 97337520000.

The previous prime is 204240580043. The next prime is 204240580051. The reversal of 204240580048 is 840085042402.

It is a junction number, because it is equal to n+sod(n) for n = 204240579989 and 204240580016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204240580043) 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, 45884223 + ... + 45888673.

Almost surely, 2204240580048 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 204240580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207322730496).

204240580048 is an abundant number, since it is smaller than the sum of its proper divisors (210404880944).

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

204240580048 is a wasteful number, since it uses less digits than its factorization.

204240580048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 204240580048 in words is "two hundred four billion, two hundred forty million, five hundred eighty thousand, forty-eight".

Divisors: 1 2 4 8 16 31 62 71 124 142 248 284 496 568 1136 1303 2201 2606 4402 4451 5212 8804 8902 10424 17608 17804 20848 35216 35608 40393 71216 80786 92513 137981 161572 185026 275962 316021 323144 370052 551924 632042 646288 740104 1103848 1264084 1480208 2207696 2528168 2867903 5056336 5735806 5799653 9796651 11471612 11599306 19593302 22943224 23198612 39186604 45886448 46397224 78373208 92794448 156746416 179789243 359578486 411775363 719156972 823550726 1438313944 1647101452 2876627888 3294202904 6588405808 12765036253 25530072506 51060145012 102120290024 204240580048