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48830714328 = 233112315715119
BaseRepresentation
bin101101011110100010…
…011001000111011000
311200001002121022020010
4231132202121013120
51300001130324303
634233231401520
73346033136424
oct553642310730
9150032538203
1048830714328
1119788735460
1295693832a0
1347b2740706
142513317b84
15140bdc4c03
hexb5e8991d8

48830714328 has 128 divisors (see below), whose sum is σ = 139080499200. Its totient is φ = 14142057600.

The previous prime is 48830714327. The next prime is 48830714341. The reversal of 48830714328 is 82341703884.

48830714328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48830714321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9536553 + ... + 9541671.

It is an arithmetic number, because the mean of its divisors is an integer number (1086566400).

Almost surely, 248830714328 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 48830714328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69540249600).

48830714328 is an abundant number, since it is smaller than the sum of its proper divisors (90249784872).

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

48830714328 is a wasteful number, since it uses less digits than its factorization.

48830714328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 48830714328 in words is "forty-eight billion, eight hundred thirty million, seven hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1571 2024 3036 3142 4713 5119 6072 6284 9426 10238 12568 15357 17281 18852 20476 30714 34562 36133 37704 40952 51843 56309 61428 69124 72266 103686 108399 112618 117737 122856 138248 144532 168927 207372 216798 225236 235474 289064 337854 353211 397463 414744 433596 450472 470948 675708 706422 794926 867192 941896 1192389 1295107 1351416 1412844 1589852 2384778 2590214 2825688 3179704 3885321 4769556 5180428 7770642 8041949 9539112 10360856 15541284 16083898 24125847 31082568 32167796 48251694 64335592 88461439 96503388 176922878 184964827 193006776 265384317 353845756 369929654 530768634 554894481 707691512 739859308 1061537268 1109788962 1479718616 2034613097 2123074536 2219577924 4069226194 4439155848 6103839291 8138452388 12207678582 16276904776 24415357164 48830714328