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10245365505060 = 22357219331802803
BaseRepresentation
bin1001010100010110111101…
…0111110001110000100100
31100021110002010201101001220
42111011233113301300210
52320330002032130220
633442353403220340
72105126464622100
oct225055727616044
940243063641056
1010245365505060
1132a0042805664
1211957542176b0
135941980101ca
14275c42224900
1512b78ae53540
hex9516f5f1c24

10245365505060 has 144 divisors (see below), whose sum is σ = 33387901235136. Its totient is φ = 2340585047808.

The previous prime is 10245365505047. The next prime is 10245365505083. The reversal of 10245365505060 is 6050556354201.

10245365505060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4781619 + ... + 6584421.

It is an arithmetic number, because the mean of its divisors is an integer number (231860425244).

Almost surely, 210245365505060 is an apocalyptic number.

10245365505060 is a gapful number since it is divisible by the number (10) 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 10245365505060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16693950617568).

10245365505060 is an abundant number, since it is smaller than the sum of its proper divisors (23142535730076).

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

10245365505060 is a wasteful number, since it uses less digits than its factorization.

10245365505060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804762 (or 1804753 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 10245365505060 in words is "ten trillion, two hundred forty-five billion, three hundred sixty-five million, five hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 1933 2940 3866 5799 7732 9665 11598 13531 19330 23196 27062 28995 38660 40593 54124 57990 67655 81186 94717 115980 135310 162372 189434 202965 270620 284151 378868 405930 473585 568302 811860 947170 1136604 1420755 1802803 1894340 2841510 3605606 5408409 5683020 7211212 9014015 10816818 12619621 18028030 21633636 25239242 27042045 36056060 37858863 50478484 54084090 63098105 75717726 88337347 108168180 126196210 151435452 176674694 189294315 252392420 265012041 353349388 378588630 441686735 530024082 757177260 883373470 1060048164 1325060205 1766746940 2650120410 3484818199 5300240820 6969636398 10454454597 13939272796 17424090995 20908909194 24393727393 34848181990 41817818388 48787454786 52272272985 69696363980 73181182179 97574909572 104544545970 121968636965 146362364358 170756091751 209089091940 243937273930 292724728716 341512183502 365905910895 487874547860 512268275253 683024367004 731811821790 853780458755 1024536550506 1463623643580 1707560917510 2049073101012 2561341376265 3415121835020 5122682752530 10245365505060