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663364635420 = 2235191429407207
BaseRepresentation
bin10011010011100111001…
…11010000101100011100
32100102021000121001100010
421221303213100230130
541332032321313140
61224425010203220
765632536236304
oct11516347205434
92312230531303
10663364635420
11236371051a93
12a8693583510
134a72a4aa816
142416d93a604
15123c7b8e880
hex9a739d0b1c

663364635420 has 96 divisors (see below), whose sum is σ = 1956552998400. Its totient is φ = 167469168384.

The previous prime is 663364635419. The next prime is 663364635457. The reversal of 663364635420 is 24536463366.

663364635420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 663364635420.

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, 1425457 + ... + 1832663.

It is an arithmetic number, because the mean of its divisors is an integer number (20380760400).

Almost surely, 2663364635420 is an apocalyptic number.

663364635420 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 663364635420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978276499200).

663364635420 is an abundant number, since it is smaller than the sum of its proper divisors (1293188362980).

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

663364635420 is a wasteful number, since it uses less digits than its factorization.

663364635420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408667 (or 408665 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 663364635420 in words is "six hundred sixty-three billion, three hundred sixty-four million, six hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1429 2858 4287 5716 7145 8574 14290 17148 21435 27151 28580 42870 54302 81453 85740 108604 135755 162906 271510 325812 407207 407265 543020 814414 814530 1221621 1628828 1629060 2036035 2443242 4072070 4886484 6108105 7736933 8144140 12216210 15473866 23210799 24432420 30947732 38684665 46421598 77369330 92843196 116053995 154738660 232107990 464215980 581898803 1163797606 1745696409 2327595212 2909494015 3491392818 5818988030 6982785636 8728482045 11056077257 11637976060 17456964090 22112154514 33168231771 34913928180 44224309028 55280386285 66336463542 110560772570 132672927084 165841158855 221121545140 331682317710 663364635420