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42648831870 = 23531160728537
BaseRepresentation
bin100111101110000100…
…011000011101111110
311002002021022010201120
4213232010120131332
51144321100104440
631332000251410
73036610042461
oct475604303576
9132067263646
1042648831870
11170a6176697
128323010b66
134038a91cb8
1420c82c12d8
151199310dd0
hex9ee11877e

42648831870 has 64 divisors (see below), whose sum is σ = 105728495616. Its totient is φ = 10998915840.

The previous prime is 42648831803. The next prime is 42648831913. The reversal of 42648831870 is 7813884624.

It is a Curzon number.

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, 1480242 + ... + 1508778.

It is an arithmetic number, because the mean of its divisors is an integer number (1652007744).

Almost surely, 242648831870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42648831870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52864247808).

42648831870 is an abundant number, since it is smaller than the sum of its proper divisors (63079663746).

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

42648831870 is a wasteful number, since it uses less digits than its factorization.

42648831870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30185.

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 42648831870 in words is "forty-two billion, six hundred forty-eight million, eight hundred thirty-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1607 3214 4821 8035 9642 16070 24105 28537 48210 49817 57074 85611 99634 142685 149451 171222 249085 285370 298902 428055 498170 747255 856110 884647 1494510 1769294 2653941 4423235 5307882 8846470 13269705 26539410 45858959 91717918 137576877 229294795 275153754 458589590 687884385 1375768770 1421627729 2843255458 4264883187 7108138645 8529766374 14216277290 21324415935 42648831870