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630233105437 = 13241101900553
BaseRepresentation
bin10010010101111001101…
…00100000010000011101
32020020202000202221102001
421022330310200100131
540311204133333222
61201305230402301
763350523002365
oct11127464402035
92206660687361
10630233105437
1122330a181151
12a2187960391
134757a3cb200
142270964b9a5
15115d918ee27
hex92bcd2041d

630233105437 has 24 divisors (see below), whose sum is σ = 706009120488. Its totient is φ = 561944448000.

The previous prime is 630233105407. The next prime is 630233105483. The reversal of 630233105437 is 734501332036.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 107119398681 + 523113706756 = 327291^2 + 723266^2 .

It is not a de Polignac number, because 630233105437 - 27 = 630233105309 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 630233105396 and 630233105405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630233105407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249553 + ... + 1150105.

It is an arithmetic number, because the mean of its divisors is an integer number (29417046687).

Almost surely, 2630233105437 is an apocalyptic number.

It is an amenable number.

630233105437 is a deficient number, since it is larger than the sum of its proper divisors (75776015051).

630233105437 is a wasteful number, since it uses less digits than its factorization.

630233105437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900721 (or 900708 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 37.

The spelling of 630233105437 in words is "six hundred thirty billion, two hundred thirty-three million, one hundred five thousand, four hundred thirty-seven".

Divisors: 1 13 41 101 169 533 1313 4141 6929 17069 53833 699829 900553 11707189 36922673 90955853 152193457 479994749 1182426089 3729189973 6239931737 15371539157 48479469649 630233105437