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63487873024 = 2123121272
BaseRepresentation
bin111011001000001011…
…000001000000000000
320001212120122010001121
4323020023001000000
52020010343414044
645055501242024
74405201005502
oct731013010000
9201776563047
1063487873024
1124a1a281754
1210379b63314
135caa23ba94
143103bb5d72
1519b8a66984
hexec82c1000

63487873024 has 117 divisors (see below), whose sum is σ = 132228959391. Its totient is φ = 30478049280.

The previous prime is 63487873003. The next prime is 63487873027. The reversal of 63487873024 is 42037878436.

The square root of 63487873024 is 251968.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×634878730242 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63487873027) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 499904449 + ... + 499904575.

Almost surely, 263487873024 is an apocalyptic number.

63487873024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63487873024 is the 251968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63487873024

63487873024 is an abundant number, since it is smaller than the sum of its proper divisors (68741086367).

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

63487873024 is an frugal number, since it uses more digits than its factorization.

63487873024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 63487873024 in words is "sixty-three billion, four hundred eighty-seven million, eight hundred seventy-three thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 256 496 508 512 961 992 1016 1024 1922 1984 2032 2048 3844 3937 3968 4064 4096 7688 7874 7936 8128 15376 15748 15872 16129 16256 30752 31496 31744 32258 32512 61504 62992 63488 64516 65024 122047 123008 125984 126976 129032 130048 244094 246016 251968 258064 260096 488188 492032 499999 503936 516128 520192 976376 984064 999998 1007872 1032256 1952752 1968128 1999996 2015744 2064512 3905504 3936256 3999992 4031488 4129024 7811008 7999984 8062976 8258048 15499969 15622016 15999968 16125952 16516096 30999938 31244032 31999936 33032192 61999876 62488064 63999872 66064384 123999752 124976128 127999744 247999504 249952256 255999488 495999008 499904512 511998976 991998016 1023997952 1983996032 2047995904 3967992064 7935984128 15871968256 31743936512 63487873024