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1988618070 = 23531113127149
BaseRepresentation
bin111011010000111…
…1110011101010110
312010120221021011010
41312201332131112
513033041234240
6525154553050
7100164655215
oct16641763526
95116837133
101988618070
1193058320a
12475b98786
13258cc07aa
1414c17507c
15b98b5280
hex7687e756

1988618070 has 128 divisors (see below), whose sum is σ = 5042995200. Its totient is φ = 501258240.

The previous prime is 1988618063. The next prime is 1988618113. The reversal of 1988618070 is 708168891.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13346356 + ... + 13346504.

It is an arithmetic number, because the mean of its divisors is an integer number (39398400).

Almost surely, 21988618070 is an apocalyptic number.

1988618070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988618070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521497600).

1988618070 is an abundant number, since it is smaller than the sum of its proper divisors (3054377130).

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

1988618070 is a wasteful number, since it uses less digits than its factorization.

1988618070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 193536, while the sum is 48.

The square root of 1988618070 is about 44593.9241377119. The cubic root of 1988618070 is about 1257.5264460656.

The spelling of 1988618070 in words is "one billion, nine hundred eighty-eight million, six hundred eighteen thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 113 127 149 155 186 226 254 298 310 339 381 447 465 565 635 678 745 762 894 930 1130 1270 1490 1695 1905 2235 3390 3503 3810 3937 4470 4619 7006 7874 9238 10509 11811 13857 14351 16837 17515 18923 19685 21018 23095 23622 27714 28702 33674 35030 37846 39370 43053 46190 50511 52545 56769 59055 69285 71755 84185 86106 94615 101022 105090 113538 118110 138570 143510 168370 189230 215265 252555 283845 430530 444881 505110 521947 567690 586613 889762 1043894 1173226 1334643 1565841 1759839 2138299 2224405 2609735 2669286 2933065 3131682 3519678 4276598 4448810 5219470 5866130 6414897 6673215 7829205 8799195 10691495 12829794 13346430 15658410 17598390 21382990 32074485 64148970 66287269 132574538 198861807 331436345 397723614 662872690 994309035 1988618070