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5630342016 = 273133136383
BaseRepresentation
bin1010011111001100…
…00011001110000000
3112112101111000020210
411033212003032000
543012331421031
62330405434120
7256345055205
oct51746031600
915471430223
105630342016
11242a1aa322
12111170b940
136b961c030
143b5aa5cac
1522e469746
hex14f983380

5630342016 has 128 divisors (see below), whose sum is σ = 16626032640. Its totient is φ = 1676482560.

The previous prime is 5630341993. The next prime is 5630342023. The reversal of 5630342016 is 6102430365.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136561 + ... + 172943.

It is an arithmetic number, because the mean of its divisors is an integer number (129890880).

Almost surely, 25630342016 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 5630342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313016320).

5630342016 is an abundant number, since it is smaller than the sum of its proper divisors (10995690624).

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

5630342016 is a wasteful number, since it uses less digits than its factorization.

5630342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36444 (or 36432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5630342016 is about 75035.6049885653. The cubic root of 5630342016 is about 1779.0094661440.

The spelling of 5630342016 in words is "five billion, six hundred thirty million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 36383 38688 51584 72766 77376 109149 145532 154752 218298 291064 436596 472979 582128 873192 945958 1127873 1164256 1418937 1746384 1891916 2255746 2328512 2837874 3383619 3492768 3783832 4511492 4657024 5675748 6767238 6985536 7567664 9022984 11351496 13534476 13971072 14662349 15135328 18045968 22702992 27068952 29324698 30270656 36091936 43987047 45405984 54137904 58649396 60541312 72183872 87974094 90811968 108275808 117298792 144367744 175948188 181623936 216551616 234597584 351896376 433103232 469195168 703792752 938390336 1407585504 1876780672 2815171008 5630342016