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3132868848648 = 2337211222016563
BaseRepresentation
bin101101100101101101100…
…010001110110000001000
3102002111111000110010120120
4231211231202032300020
5402312103411124043
610355115312023240
7442225260556500
oct55455542166010
912074430403516
103132868848648
11aa8707878300
12427207531b20
13199574b893c6
14ab8bb3c8a00
155675e391983
hex2d96d88ec08

3132868848648 has 144 divisors (see below), whose sum is σ = 10014454301040. Its totient is φ = 813732131520.

The previous prime is 3132868848643. The next prime is 3132868848667. The reversal of 3132868848648 is 8468488682313.

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

It is not an unprimeable number, because it can be changed into a prime (3132868848643) 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 35 ways as a sum of consecutive naturals, for example, 10865986 + ... + 11150577.

It is an arithmetic number, because the mean of its divisors is an integer number (69544821535).

Almost surely, 23132868848648 is an apocalyptic number.

It is an amenable number.

3132868848648 is an abundant number, since it is smaller than the sum of its proper divisors (6881585452392).

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

3132868848648 is a wasteful number, since it uses less digits than its factorization.

3132868848648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22016608 (or 22016586 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 69.

The spelling of 3132868848648 in words is "three trillion, one hundred thirty-two billion, eight hundred sixty-eight million, eight hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2541 2904 3234 3388 4312 5082 5929 6468 6776 10164 11858 12936 17787 20328 23716 35574 47432 71148 142296 22016563 44033126 66049689 88066252 132099378 154115941 176132504 242182193 264198756 308231882 462347823 484364386 528397512 616463764 726546579 924695646 968728772 1078811587 1232927528 1453093158 1695275351 1849391292 1937457544 2157623174 2664004123 2906186316 3236434761 3390550702 3698782584 4315246348 5085826053 5328008246 5812372632 6472869522 6781101404 7992012369 8630492696 10171652106 10656016492 11866927457 12945739044 13562202808 15984024738 18648028861 20343304212 21312032984 23733854914 25891478088 31968049476 35600782371 37296057722 40686608424 47467709828 55944086583 63936098952 71201564742 74592115444 94935419656 111888173166 130536202027 142403129484 149184230888 223776346332 261072404054 284806258968 391608606081 447552692664 522144808108 783217212162 1044289616216 1566434424324 3132868848648