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630536635036 = 22711107131146051
BaseRepresentation
bin10010010110011101110…
…10011000001010011100
32020021112011220211202001
421023032322120022130
540312314334310121
61201355312212044
763361166652340
oct11131672301234
92207464824661
10630536635036
11223455546460
12a225153a024
13475c8263719
1422737a9d620
1511605b49991
hex92cee9829c

630536635036 has 96 divisors (see below), whose sum is σ = 1399182833664. Its totient is φ = 241508280000.

The previous prime is 630536635031. The next prime is 630536635073.

It is a happy number.

630536635036 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630536635031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4244211 + ... + 4390261.

It is an arithmetic number, because the mean of its divisors is an integer number (14574821184).

Almost surely, 2630536635036 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 630536635036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699591416832).

630536635036 is an abundant number, since it is smaller than the sum of its proper divisors (768646198628).

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

630536635036 is a wasteful number, since it uses less digits than its factorization.

630536635036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146311 (or 146309 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 46.

The spelling of 630536635036 in words is "six hundred thirty billion, five hundred thirty-six million, six hundred thirty-five thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 131 154 214 262 308 428 524 749 917 1177 1441 1498 1834 2354 2882 2996 3668 4708 5764 8239 10087 14017 16478 20174 28034 32956 40348 56068 98119 146051 154187 196238 292102 308374 392476 584204 616748 1022357 1079309 1606561 2044714 2158618 3213122 4089428 4317236 6426244 11245927 15627457 19132681 22491854 31254914 38265362 44983708 62509828 76530724 109392199 133928767 171902027 210459491 218784398 267857534 343804054 420918982 437568796 535715068 687608108 841837964 1203314189 1473216437 2047196867 2406628378 2946432874 4094393734 4813256756 5892865748 8188787468 14330378069 22519165537 28660756138 45038331074 57321512276 90076662148 157634158759 315268317518 630536635036