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63928981606464 = 263213172276613347
BaseRepresentation
bin11101000100100101000000…
…01111010101000001000000
322101100112212122110000201200
432202102200033111001000
531334403023242401324
6343544322501501200
716315500521522532
oct1642224017250100
9271315778400650
1063928981606464
1119408146545557
127205a46711800
132989628252250
1411b0271ac5852
1575ce15d35ec9
hex3a24a03d5040

63928981606464 has 672 divisors, whose sum is σ = 210245108201856. Its totient is φ = 18398430167040.

The previous prime is 63928981606411. The next prime is 63928981606537. The reversal of 63928981606464 is 46460618982936.

63928981606464 is a `hidden beast` number, since 6 + 3 + 9 + 2 + 8 + 9 + 8 + 1 + 606 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×639289816064642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63928981606392 and 63928981606401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19100381239 + ... + 19100384585.

It is an arithmetic number, because the mean of its divisors is an integer number (312864744348).

Almost surely, 263928981606464 is an apocalyptic number.

63928981606464 is a gapful number since it is divisible by the number (64) 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 63928981606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105122554100928).

63928981606464 is an abundant number, since it is smaller than the sum of its proper divisors (146316126595392).

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

63928981606464 is a wasteful number, since it uses less digits than its factorization.

63928981606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 63928981606464 in words is "sixty-three trillion, nine hundred twenty-eight billion, nine hundred eighty-one million, six hundred six thousand, four hundred sixty-four".