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245535511040 = 295296749363
BaseRepresentation
bin1110010010101100001…
…1101001001000000000
3212110202210101022121022
43210223003221020000
513010324042323130
6304444130045012
723511412256651
oct3445303511000
9773683338538
10245535511040
1195149438656
123b705419768
131a200169951
14bc5390b528
1565c0de27e5
hex392b0e9200

245535511040 has 160 divisors (see below), whose sum is σ = 618112313280. Its totient is φ = 93410279424.

The previous prime is 245535511033. The next prime is 245535511049. The reversal of 245535511040 is 40115535542.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (245535511049) 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, 4949399 + ... + 4998761.

It is an arithmetic number, because the mean of its divisors is an integer number (3863201958).

Almost surely, 2245535511040 is an apocalyptic number.

245535511040 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 245535511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309056156640).

245535511040 is an abundant number, since it is smaller than the sum of its proper divisors (372576802240).

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

245535511040 is an equidigital number, since it uses as much as digits as its factorization.

245535511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49482 (or 49466 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 245535511040 in words is "two hundred forty-five billion, five hundred thirty-five million, five hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 67 80 116 128 134 145 160 232 256 268 290 320 335 464 512 536 580 640 670 928 1072 1160 1280 1340 1856 1943 2144 2320 2560 2680 3712 3886 4288 4640 5360 7424 7772 8576 9280 9715 10720 14848 15544 17152 18560 19430 21440 31088 34304 37120 38860 42880 49363 62176 74240 77720 85760 98726 124352 155440 171520 197452 246815 248704 310880 394904 493630 497408 621760 789808 987260 994816 1243520 1431527 1579616 1974520 2487040 2863054 3159232 3307321 3949040 4974080 5726108 6318464 6614642 7157635 7898080 11452216 12636928 13229284 14315270 15796160 16536605 22904432 25273856 26458568 28630540 31592320 33073210 45808864 52917136 57261080 63184640 66146420 91617728 95912309 105834272 114522160 126369280 132292840 183235456 191824618 211668544 229044320 264585680 366470912 383649236 423337088 458088640 479561545 529171360 732941824 767298472 846674176 916177280 959123090 1058342720 1534596944 1693348352 1832354560 1918246180 2116685440 3069193888 3664709120 3836492360 4233370880 6138387776 7672984720 8466741760 12276775552 15345969440 24553551104 30691938880 49107102208 61383877760 122767755520 245535511040