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63420450564504 = 233115214021114671
BaseRepresentation
bin11100110101110001110010…
…11011010110100110011000
322022112221021020120110222010
432122320321123112212120
531303040040321031004
6342514541444425520
716233655613140545
oct1632707133264630
9268487236513863
1063420450564504
1119231509a80a60
1271433846a82a0
1329506a485ac67
1411937cd881bcc
1574eaa12aba89
hex39ae396d6998

63420450564504 has 128 divisors (see below), whose sum is σ = 173341461058560. Its totient is φ = 19176493440000.

The previous prime is 63420450564469. The next prime is 63420450564509. The reversal of 63420450564504 is 40546505402436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63420450564509) 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, 553007089 + ... + 553121759.

It is an arithmetic number, because the mean of its divisors is an integer number (1354230164520).

Almost surely, 263420450564504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63420450564504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86670730529280).

63420450564504 is an abundant number, since it is smaller than the sum of its proper divisors (109921010494056).

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

63420450564504 is a wasteful number, since it uses less digits than its factorization.

63420450564504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119233 (or 119229 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 63420450564504 in words is "sixty-three trillion, four hundred twenty billion, four hundred fifty million, five hundred sixty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 521 1042 1563 2084 3126 4021 4168 5731 6252 8042 11462 12063 12504 16084 17193 22924 24126 32168 34386 44231 45848 48252 68772 88462 96504 114671 132693 137544 176924 229342 265386 344013 353848 458684 530772 688026 917368 1061544 1261381 1376052 2094941 2522762 2752104 3784143 4189882 5045524 6284823 7568286 8379764 10091048 12569646 15136572 16759528 23044351 25139292 30273144 46088702 50278584 59743591 69133053 92177404 119487182 138266106 179230773 184354808 238974364 276532212 358461546 461092091 477948728 553064424 657179501 716923092 922184182 1314359002 1383276273 1433846184 1844368364 1971538503 2628718004 2766552546 3688736728 3943077006 5072013001 5257436008 5533105092 7886154012 10144026002 11066210184 15216039003 15772308024 20288052004 30432078006 40576104008 60864156012 121728312024 240228979411 480457958822 720686938233 960915917644 1441373876466 1921831835288 2642518773521 2882747752932 5285037547042 5765495505864 7927556320563 10570075094084 15855112641126 21140150188168 31710225282252 63420450564504