Search a number
-
+
19608038912 = 297111926177
BaseRepresentation
bin10010010000101110…
…101110111000000000
31212121111222120201102
4102100232232320000
5310124124221122
613001404153532
71262622403130
oct222056567000
955544876642
1019608038912
118352254940
1239728388a8
131b0641c3b7
14d40214ac0
1579b644492
hex490baee00

19608038912 has 160 divisors (see below), whose sum is σ = 51417780480. Its totient is φ = 7237140480.

The previous prime is 19608038911. The next prime is 19608038953. The reversal of 19608038912 is 21983080691.

It is a super-2 number, since 2×196080389122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19608038911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735968 + ... + 762144.

It is an arithmetic number, because the mean of its divisors is an integer number (321361128).

Almost surely, 219608038912 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 19608038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25708890240).

19608038912 is an abundant number, since it is smaller than the sum of its proper divisors (31809741568).

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

19608038912 is a wasteful number, since it uses less digits than its factorization.

19608038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26232 (or 26216 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The spelling of 19608038912 in words is "nineteen billion, six hundred eight million, thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 256 266 304 308 352 418 448 512 532 608 616 704 836 896 1064 1216 1232 1408 1463 1672 1792 2128 2432 2464 2816 2926 3344 3584 4256 4864 4928 5632 5852 6688 8512 9728 9856 11704 13376 17024 19712 23408 26177 26752 34048 39424 46816 52354 53504 68096 93632 104708 107008 183239 187264 209416 287947 366478 374528 418832 497363 575894 732956 749056 837664 994726 1151788 1465912 1675328 1989452 2015629 2303576 2931824 3350656 3481541 3978904 4031258 4607152 5470993 5863648 6701312 6963082 7957808 8062516 9214304 10941986 11727296 13402624 13926164 15915616 16125032 18428608 21883972 23454592 27852328 31831232 32250064 36857216 38296951 43767944 46909184 55704656 63662464 64500128 73714432 76593902 87535888 93818368 111409312 127324928 129000256 147428864 153187804 175071776 222818624 254649856 258000512 306375608 350143552 445637248 516001024 612751216 700287104 891274496 1032002048 1225502432 1400574208 1782548992 2451004864 2801148416 4902009728 9804019456 19608038912