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189123996160 = 2951119933749
BaseRepresentation
bin1011000000100010101…
…0110010101000000000
3200002011101011110000101
42300020222302220000
511044311220334120
6222514331332144
716443445305001
oct2601052625000
9602141143011
10189123996160
1173230624580
12307a12b1054
1314aaccba648
14922188b1a8
154dbd72990a
hex2c08ab2a00

189123996160 has 160 divisors (see below), whose sum is σ = 497178000000. Its totient is φ = 68424744960.

The previous prime is 189123996157. The next prime is 189123996289. The reversal of 189123996160 is 61699321981.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5586966 + ... + 5620714.

It is an arithmetic number, because the mean of its divisors is an integer number (3107362500).

Almost surely, 2189123996160 is an apocalyptic number.

189123996160 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 189123996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248589000000).

189123996160 is an abundant number, since it is smaller than the sum of its proper divisors (308054003840).

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

189123996160 is a wasteful number, since it uses less digits than its factorization.

189123996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33982 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The spelling of 189123996160 in words is "one hundred eighty-nine billion, one hundred twenty-three million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 199 220 256 320 352 398 440 512 640 704 796 880 995 1280 1408 1592 1760 1990 2189 2560 2816 3184 3520 3980 4378 5632 6368 7040 7960 8756 10945 12736 14080 15920 17512 21890 25472 28160 31840 33749 35024 43780 50944 63680 67498 70048 87560 101888 127360 134996 140096 168745 175120 254720 269992 280192 337490 350240 371239 509440 539984 560384 674980 700480 742478 1079968 1120768 1349960 1400960 1484956 1856195 2159936 2699920 2801920 2969912 3712390 4319872 5399840 5603840 5939824 6716051 7424780 8639744 10799680 11879648 13432102 14849560 17279488 21599360 23759296 26864204 29699120 33580255 43198720 47518592 53728408 59398240 67160510 73876561 86397440 95037184 107456816 118796480 134321020 147753122 190074368 214913632 237592960 268642040 295506244 369382805 429827264 475185920 537284080 591012488 738765610 859654528 950371840 1074568160 1182024976 1477531220 1719309056 2149136320 2364049952 2955062440 3438618112 4298272640 4728099904 5910124880 8596545280 9456199808 11820249760 17193090560 18912399616 23640499520 37824799232 47280999040 94561998080 189123996160