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63920585040 = 24351321299623
BaseRepresentation
bin111011100001111101…
…101011100101010000
320002222201212011100120
4323201331223211100
52021402132210130
645210435550240
74422004002534
oct734175534520
9202881764316
1063920585040
112512155a694
121047aa5b380
136048a948b0
143145453bc4
1519e1a3c910
hexee1f6b950

63920585040 has 160 divisors (see below), whose sum is σ = 213518833920. Its totient is φ = 15725273088.

The previous prime is 63920585039. The next prime is 63920585051. The reversal of 63920585040 is 4058502936.

It is a junction number, because it is equal to n+sod(n) for n = 63920584983 and 63920585001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6637669 + ... + 6647291.

It is an arithmetic number, because the mean of its divisors is an integer number (1334492712).

Almost surely, 263920585040 is an apocalyptic number.

63920585040 is a gapful number since it is divisible by the number (60) 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 63920585040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106759416960).

63920585040 is an abundant number, since it is smaller than the sum of its proper divisors (149598248880).

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

63920585040 is a wasteful number, since it uses less digits than its factorization.

63920585040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11781 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 63920585040 in words is "sixty-three billion, nine hundred twenty million, five hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2129 3120 4258 6387 8516 9623 10645 12774 17032 19246 21290 25548 27677 28869 31935 34064 38492 42580 48115 51096 55354 57738 63870 76984 83031 85160 96230 102192 110708 115476 125099 127740 138385 144345 153968 166062 170320 192460 221416 230952 250198 255480 276770 288690 332124 375297 384920 415155 442832 461904 500396 510960 553540 577380 625495 664248 750594 769840 830310 1000792 1107080 1154760 1250990 1328496 1501188 1660620 1876485 2001584 2214160 2309520 2501980 3002376 3321240 3752970 5003960 6004752 6642480 7505940 10007920 15011880 20487367 30023760 40974734 61462101 81949468 102436835 122924202 163898936 204873670 245848404 266335771 307310505 327797872 409747340 491696808 532671542 614621010 799007313 819494680 983393616 1065343084 1229242020 1331678855 1598014626 1638989360 2130686168 2458484040 2663357710 3196029252 3995036565 4261372336 4916968080 5326715420 6392058504 7990073130 10653430840 12784117008 15980146260 21306861680 31960292520 63920585040