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189935903920 = 2457898294597
BaseRepresentation
bin1011000011100100001…
…1111110010010110000
3200011020221220122002011
42300321003332102300
511102442042411140
6223131053332304
716502534355010
oct2607103762260
9604227818064
10189935903920
1173607958924
1230989197094
1314bac27c539
14929b635c40
154e19b54cea
hex2c390fe4b0

189935903920 has 160 divisors (see below), whose sum is σ = 511084252800. Its totient is φ = 64297525248.

The previous prime is 189935903909. The next prime is 189935903977. The reversal of 189935903920 is 29309539981.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41315062 + ... + 41319658.

It is an arithmetic number, because the mean of its divisors is an integer number (3194276580).

Almost surely, 2189935903920 is an apocalyptic number.

189935903920 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 189935903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255542126400).

189935903920 is an abundant number, since it is smaller than the sum of its proper divisors (321148348880).

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

189935903920 is a wasteful number, since it uses less digits than its factorization.

189935903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 58.

The spelling of 189935903920 in words is "one hundred eighty-nine billion, nine hundred thirty-five million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 712 829 890 1246 1424 1658 1780 2492 3115 3316 3560 4145 4597 4984 5803 6230 6632 7120 8290 9194 9968 11606 12460 13264 16580 18388 22985 23212 24920 29015 32179 33160 36776 45970 46424 49840 58030 64358 66320 73552 73781 91940 92848 116060 128716 147562 160895 183880 232120 257432 295124 321790 367760 368905 409133 464240 514864 516467 590248 643580 737810 818266 1032934 1180496 1287160 1475620 1636532 2045665 2065868 2574320 2582335 2863931 2951240 3273064 3810913 4091330 4131736 5164670 5727862 5902480 6546128 7621826 8182660 8263472 10329340 11455724 14319655 15243652 16365320 19054565 20658680 22911448 26676391 28639310 30487304 32730640 38109130 41317360 45822896 53352782 57278620 60974608 76218260 106705564 114557240 133381955 152436520 213411128 229114480 266763910 304873040 339171257 426822256 533527820 678342514 1067055640 1356685028 1695856285 2134111280 2374198799 2713370056 3391712570 4748397598 5426740112 6783425140 9496795196 11870993995 13566850280 18993590392 23741987990 27133700560 37987180784 47483975980 94967951960 189935903920