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128942387200 = 2125211114473
BaseRepresentation
bin111100000010110010…
…0001011000000000000
3110022211012211221121101
41320011210023000000
54103033222342300
6135122454504144
712213212131054
oct1700544130000
9408735757541
10128942387200
114a758685a70
1220ba6665054
13c20ba45143
146352c41c64
15354a0a1b6a
hex1e0590b000

128942387200 has 156 divisors (see below), whose sum is σ = 348808230648. Its totient is φ = 46887731200.

The previous prime is 128942387179. The next prime is 128942387261. The reversal of 128942387200 is 2783249821.

It is a super-2 number, since 2×1289423872002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069164 + ... + 1183636.

Almost surely, 2128942387200 is an apocalyptic number.

128942387200 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 128942387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174404115324).

128942387200 is an abundant number, since it is smaller than the sum of its proper divisors (219865843448).

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

128942387200 is a wasteful number, since it uses less digits than its factorization.

128942387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114518 (or 114491 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 128942387200 in words is "one hundred twenty-eight billion, nine hundred forty-two million, three hundred eighty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2048 2200 2560 2816 3200 3520 4096 4400 5120 5632 6400 7040 8800 10240 11264 12800 14080 17600 20480 22528 25600 28160 35200 45056 51200 56320 70400 102400 112640 114473 140800 225280 228946 281600 457892 563200 572365 915784 1126400 1144730 1259203 1831568 2289460 2518406 2861825 3663136 4578920 5036812 5723650 6296015 7326272 9157840 10073624 11447300 12592030 14652544 18315680 20147248 22894600 25184060 29305088 31480075 36631360 40294496 45789200 50368120 58610176 62960150 73262720 80588992 91578400 100736240 117220352 125920300 146525440 161177984 183156800 201472480 234440704 251840600 293050880 322355968 366313600 402944960 468881408 503681200 586101760 644711936 732627200 805889920 1007362400 1172203520 1289423872 1465254400 1611779840 2014724800 2344407040 2578847744 2930508800 3223559680 4029449600 5157695488 5861017600 6447119360 8058899200 11722035200 12894238720 16117798400 25788477440 32235596800 64471193600 128942387200