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200426377520 = 24561193241883
BaseRepresentation
bin1011101010101001010…
…1111101000100110000
3201011100001120220111102
42322222111331010300
511240433123040040
6232024040503532
720323516046105
oct2725225750460
9634301526442
10200426377520
1178000512a16
1232a1647aba8
1315b91767975
1499b4990aac
155330ae8515
hex2eaa57d130

200426377520 has 160 divisors (see below), whose sum is σ = 478601433024. Its totient is φ = 78033715200.

The previous prime is 200426377519. The next prime is 200426377537. The reversal of 200426377520 is 25773624002.

200426377520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004263775202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226982999 + ... + 226983881.

Almost surely, 2200426377520 is an apocalyptic number.

200426377520 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 200426377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239300716512).

200426377520 is an abundant number, since it is smaller than the sum of its proper divisors (278175055504).

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

200426377520 is a wasteful number, since it uses less digits than its factorization.

200426377520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 200426377520 in words is "two hundred billion, four hundred twenty-six million, three hundred seventy-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 193 241 244 305 386 482 488 610 772 883 964 965 976 1205 1220 1544 1766 1928 1930 2410 2440 3088 3532 3856 3860 4415 4820 4880 7064 7720 8830 9640 11773 14128 14701 15440 17660 19280 23546 29402 35320 46513 47092 53863 58804 58865 70640 73505 93026 94184 107726 117608 117730 147010 170419 186052 188368 212803 215452 232565 235216 235460 269315 294020 340838 372104 425606 430904 465130 470920 538630 588040 681676 744208 851212 852095 861808 930260 941840 1064015 1077260 1176080 1363352 1702424 1704190 1860520 2128030 2154520 2726704 2837293 3404848 3408380 3721040 4256060 4309040 5674586 6816760 8512120 10395559 11349172 12980983 13633520 14186465 17024240 20791118 22698344 25961966 28372930 41070979 41582236 45396688 51923932 51977795 56745860 64904915 82141958 83164472 103847864 103955590 113491720 129809830 164283916 166328944 205354895 207695728 207911180 226983440 259619660 328567832 410709790 415822360 519239320 657135664 821419580 831644720 1038478640 1642839160 2505329719 3285678320 5010659438 10021318876 12526648595 20042637752 25053297190 40085275504 50106594380 100213188760 200426377520