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631550055136 = 2571113162112163
BaseRepresentation
bin10010011000010110101…
…00010001001011100000
32020101010210211220202211
421030023110101023200
540321403303231021
61202044033251504
763425253616030
oct11141324211340
92211123756684
10631550055136
112239255a5a30
12a2494a03b94
134772a1bc0a0
14227d25018c0
1511664acc3e1
hex930b5112e0

631550055136 has 192 divisors, whose sum is σ = 1670579237376. Its totient is φ = 226972108800.

The previous prime is 631550055089. The next prime is 631550055193.

It is a happy number.

631550055136 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51917791 + ... + 51929953.

It is an arithmetic number, because the mean of its divisors is an integer number (8700933528).

Almost surely, 2631550055136 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 631550055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835289618688).

631550055136 is an abundant number, since it is smaller than the sum of its proper divisors (1039029182240).

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

631550055136 is a wasteful number, since it uses less digits than its factorization.

631550055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 631550055136 in words is "six hundred thirty-one billion, five hundred fifty million, fifty-five thousand, one hundred thirty-six".