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488213964306432 = 2113573133147151
BaseRepresentation
bin110111100000001110010101…
…1111010101011100000000000
32101000121210120121002111100000
41233000130223322223200000
51002442344144330301212
64450202222101200000
7204556203105504000
oct15700345372534000
92330553517074300
10488213964306432
1113161841a159291
124690b178a00000
1317c554c13b57b0
14887b9793c4000
153b69873d841dc
hex1bc072beab800

488213964306432 has 4608 divisors, whose sum is σ = 1948848685056000. Its totient is φ = 121147342848000.

The previous prime is 488213964306379. The next prime is 488213964306443. The reversal of 488213964306432 is 234603469312884.

It is a happy number.

488213964306432 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 139 + 6 + 430 + 64 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 488213964306432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3233205061557 + ... + 3233205061707.

It is an arithmetic number, because the mean of its divisors is an integer number (422927232000).

Almost surely, 2488213964306432 is an apocalyptic number.

488213964306432 is a gapful number since it is divisible by the number (42) 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 488213964306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974424342528000).

488213964306432 is an abundant number, since it is smaller than the sum of its proper divisors (1460634720749568).

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

488213964306432 is a wasteful number, since it uses less digits than its factorization.

488213964306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 488213964306432 in words is "four hundred eighty-eight trillion, two hundred thirteen billion, nine hundred sixty-four million, three hundred six thousand, four hundred thirty-two".