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48362329368 = 23331764320483
BaseRepresentation
bin101101000010100111…
…101001010100011000
311121211110020212212000
4231002213221110120
51243021224014433
634114540321000
73331315005543
oct550247512430
9147743225760
1048362329368
1119568301951
129458543160
1347396a7752
1424ab03185a
1513d0c04113
hexb429e9518

48362329368 has 128 divisors (see below), whose sum is σ = 142470316800. Its totient is φ = 15148159488.

The previous prime is 48362329349. The next prime is 48362329391. The reversal of 48362329368 is 86392326384.

48362329368 is a `hidden beast` number, since 4 + 8 + 3 + 623 + 2 + 9 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 2350855 + ... + 2371337.

It is an arithmetic number, because the mean of its divisors is an integer number (1113049350).

Almost surely, 248362329368 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 48362329368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71235158400).

48362329368 is an abundant number, since it is smaller than the sum of its proper divisors (94107987432).

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

48362329368 is a wasteful number, since it uses less digits than its factorization.

48362329368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21158 (or 21148 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 48362329368 in words is "forty-eight billion, three hundred sixty-two million, three hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 643 918 1224 1286 1836 1929 2572 3672 3858 5144 5787 7716 10931 11574 15432 17361 20483 21862 23148 32793 34722 40966 43724 46296 61449 65586 69444 81932 87448 98379 122898 131172 138888 163864 184347 196758 245796 262344 295137 348211 368694 393516 491592 553041 590274 696422 737388 787032 1044633 1106082 1180548 1392844 1474776 2089266 2212164 2361096 2785688 3133899 4178532 4424328 6267798 8357064 9401697 12535596 13170569 18803394 25071192 26341138 37606788 39511707 52682276 75213576 79023414 105364552 118535121 158046828 223899673 237070242 316093656 355605363 447799346 474140484 671699019 711210726 895598692 948280968 1343398038 1422421452 1791197384 2015097057 2686796076 2844842904 4030194114 5373592152 6045291171 8060388228 12090582342 16120776456 24181164684 48362329368