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631057588384 = 25296611028773
BaseRepresentation
bin10010010111011011111…
…01101010000010100000
32020022212111012000101111
421023231331222002200
540314401220312014
61201523122113104
763410123665636
oct11135575520240
92208774160344
10631057588384
112236a2614413
12a2377aab794
134767c173b42
1422786d4b356
15116367512c4
hex92edf6a0a0

631057588384 has 48 divisors (see below), whose sum is σ = 1287181453320. Its totient is φ = 304187304960.

The previous prime is 631057588333. The next prime is 631057588391. The reversal of 631057588384 is 483885750136.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 529314451600 + 101743136784 = 727540^2 + 318972^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99022 + ... + 1127794.

Almost surely, 2631057588384 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 631057588384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643590726660).

631057588384 is an abundant number, since it is smaller than the sum of its proper divisors (656123864936).

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

631057588384 is a wasteful number, since it uses less digits than its factorization.

631057588384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029473 (or 1029465 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 631057588384 in words is "six hundred thirty-one billion, fifty-seven million, five hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 661 928 1322 2644 5288 10576 19169 21152 38338 76676 153352 306704 613408 1028773 2057546 4115092 8230184 16460368 29834417 32920736 59668834 119337668 238675336 477350672 680018953 954701344 1360037906 2720075812 5440151624 10880303248 19720549637 21760606496 39441099274 78882198548 157764397096 315528794192 631057588384