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128208752820 = 2232531157146347
BaseRepresentation
bin111011101100111010…
…1100101000010110100
3110020221002101110102200
41313121311211002310
54100032420042240
6134522010304500
712156063263241
oct1673165450264
9406832343380
10128208752820
114a411553665
1220a20a28130
13c122a5a765
1462c36305c8
153505988930
hex1dd9d650b4

128208752820 has 144 divisors (see below), whose sum is σ = 404004776448. Its totient is φ = 32875165440.

The previous prime is 128208752809. The next prime is 128208752821. The reversal of 128208752820 is 28257802821.

128208752820 is a `hidden beast` number, since 1 + 2 + 8 + 20 + 87 + 528 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128208752821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802887 + ... + 949233.

Almost surely, 2128208752820 is an apocalyptic number.

128208752820 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 128208752820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202002388224).

128208752820 is an abundant number, since it is smaller than the sum of its proper divisors (275796023628).

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

128208752820 is a wasteful number, since it uses less digits than its factorization.

128208752820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146550 (or 146545 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 128208752820 in words is "one hundred twenty-eight billion, two hundred eight million, seven hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 157 180 186 279 310 314 372 465 471 558 620 628 785 930 942 1116 1395 1413 1570 1860 1884 2355 2790 2826 3140 4710 4867 5580 5652 7065 9420 9734 14130 14601 19468 24335 28260 29202 43803 48670 58404 73005 87606 97340 146010 146347 175212 219015 292020 292694 438030 439041 585388 731735 876060 878082 1317123 1463470 1756164 2195205 2634246 2926940 4390410 4536757 5268492 6585615 8780820 9073514 13171230 13610271 18147028 22683785 22976479 26342460 27220542 40830813 45367570 45952958 54441084 68051355 68929437 81661626 90735140 91905916 114882395 136102710 137858874 163323252 204154065 206788311 229764790 272205420 275717748 344647185 408308130 413576622 459529580 689294370 712270849 816616260 827153244 1033941555 1378588740 1424541698 2067883110 2136812547 2849083396 3561354245 4135766220 4273625094 6410437641 7122708490 8547250188 10684062735 12820875282 14245416980 21368125470 25641750564 32052188205 42736250940 64104376410 128208752820