Search a number
-
+
19108980480 = 283513137987
BaseRepresentation
bin10001110010111110…
…111110011100000000
31211022201220210020210
4101302332332130000
5303113344333410
612440055434120
71244352440232
oct216276763400
954281823223
1019108980480
118116580957
123853685940
131a56c06a55
14cd3c26252
1576c915220
hex472fbe700

19108980480 has 144 divisors (see below), whose sum is σ = 61496797824. Its totient is φ = 5056696320.

The previous prime is 19108980463. The next prime is 19108980481. The reversal of 19108980480 is 8408980191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19108980481) 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, 484047 + ... + 522033.

It is an arithmetic number, because the mean of its divisors is an integer number (427061096).

Almost surely, 219108980480 is an apocalyptic number.

19108980480 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 19108980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30748398912).

19108980480 is an abundant number, since it is smaller than the sum of its proper divisors (42387817344).

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

19108980480 is a wasteful number, since it uses less digits than its factorization.

19108980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38142 (or 38128 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 19108980480 in words is "nineteen billion, one hundred eight million, nine hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 524 640 655 768 786 960 1048 1280 1310 1572 1920 1965 2096 2620 3144 3840 3930 4192 5240 6288 7860 8384 10480 12576 15720 16768 20960 25152 31440 33536 37987 41920 50304 62880 75974 83840 100608 113961 125760 151948 167680 189935 227922 251520 303896 379870 455844 503040 569805 607792 759740 911688 1139610 1215584 1519480 1823376 2279220 2431168 3038960 3646752 4558440 4862336 4976297 6077920 7293504 9116880 9724672 9952594 12155840 14587008 14928891 18233760 19905188 24311680 24881485 29174016 29857782 36467520 39810376 48623360 49762970 59715564 72935040 74644455 79620752 99525940 119431128 145870080 149288910 159241504 199051880 238862256 298577820 318483008 398103760 477724512 597155640 636966016 796207520 955449024 1194311280 1273932032 1592415040 1910898048 2388622560 3184830080 3821796096 4777245120 6369660160 9554490240 19108980480