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19248412120 = 2357315414099
BaseRepresentation
bin10001111011010010…
…110111010111011000
31211200110021122111121
4101323102313113120
5303410043141440
612502000135024
71250664542410
oct217322672730
954613248447
1019248412120
118188254a13
123892307474
131a79a75492
14d0855d640
15779ca834a
hex47b4b75d8

19248412120 has 128 divisors (see below), whose sum is σ = 51199488000. Its totient is φ = 6373209600.

The previous prime is 19248412087. The next prime is 19248412123. The reversal of 19248412120 is 2121484291.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19248412123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4693831 + ... + 4697929.

It is an arithmetic number, because the mean of its divisors is an integer number (399996000).

Almost surely, 219248412120 is an apocalyptic number.

19248412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19248412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25599744000).

19248412120 is an abundant number, since it is smaller than the sum of its proper divisors (31951075880).

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

19248412120 is a wasteful number, since it uses less digits than its factorization.

19248412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 19248412120 in words is "nineteen billion, two hundred forty-eight million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 541 620 868 1082 1085 1240 1736 2164 2170 2705 3787 4099 4328 4340 5410 7574 8198 8680 10820 15148 16396 16771 18935 20495 21640 28693 30296 32792 33542 37870 40990 57386 67084 75740 81980 83855 114772 117397 127069 134168 143465 151480 163960 167710 229544 234794 254138 286930 335420 469588 508276 573860 586985 635345 670840 889483 939176 1016552 1147720 1173970 1270690 1778966 2217559 2347940 2541380 3557932 4435118 4447415 4695880 5082760 7115864 8870236 8894830 11087795 15522913 17740472 17789660 22175590 31045826 35579320 44351180 62091652 68744329 77614565 88702360 124183304 137488658 155229130 274977316 310458260 343721645 481210303 549954632 620916520 687443290 962420606 1374886580 1924841212 2406051515 2749773160 3849682424 4812103030 9624206060 19248412120