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245364706640 = 24541613973089
BaseRepresentation
bin1110010010000011100…
…0000100110101010000
3212110022212222120000102
43210200320010311100
513010001331103030
6304415145111532
723504236410644
oct3444070046520
9773285876012
10245364706640
1195070a86799
123b6781885a8
131a1a3965461
14bc38d68c24
1565b0e03c45
hex3920e04d50

245364706640 has 160 divisors (see below), whose sum is σ = 595655938080. Its totient is φ = 93914726400.

The previous prime is 245364706633. The next prime is 245364706649. The reversal of 245364706640 is 46607463542.

It can be written as a sum of positive squares in 16 ways, for example, as 104895663376 + 140469043264 = 323876^2 + 374792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245364706649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79430216 + ... + 79433304.

It is an arithmetic number, because the mean of its divisors is an integer number (3722849613).

Almost surely, 2245364706640 is an apocalyptic number.

245364706640 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 245364706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297827969040).

245364706640 is an abundant number, since it is smaller than the sum of its proper divisors (350291231440).

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

245364706640 is a wasteful number, since it uses less digits than its factorization.

245364706640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

The spelling of 245364706640 in words is "two hundred forty-five billion, three hundred sixty-four million, seven hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 61 80 82 122 164 205 244 305 328 397 410 488 610 656 794 820 976 1220 1588 1640 1985 2440 2501 3089 3176 3280 3970 4880 5002 6178 6352 7940 10004 12356 12505 15445 15880 16277 20008 24217 24712 25010 30890 31760 32554 40016 48434 49424 50020 61780 65108 81385 96868 100040 121085 123560 126649 130216 162770 188429 193736 200080 242170 247120 253298 260432 325540 376858 387472 484340 506596 633245 651080 753716 942145 968680 992897 1013192 1226333 1266490 1302160 1507432 1884290 1937360 1985794 2026384 2452666 2532980 3014864 3768580 3971588 4905332 4964485 5065960 6131665 7537160 7725589 7943176 9810664 9928970 10131920 12263330 15074320 15451178 15886352 19621328 19857940 24526660 30902356 38627945 39715880 49053320 50279653 61804712 74806313 77255890 79431760 98106640 100559306 123609424 149612626 154511780 201118612 251398265 299225252 309023560 374031565 402237224 502796530 598450504 618047120 748063130 804474448 1005593060 1196901008 1496126260 2011186120 2992252520 3067058833 4022372240 5984505040 6134117666 12268235332 15335294165 24536470664 30670588330 49072941328 61341176660 122682353320 245364706640