Search a number
-
+
189978519808 = 2871159163351
BaseRepresentation
bin1011000011101110011…
…0100010100100000000
3200011100221002202002101
42300323212202210000
511103034000113213
6223135215000144
716503562526410
oct2607346424400
9604327082071
10189978519808
1173629a15870
123099b509054
1314bb805093c
1492a316a640
154e1d771bdd
hex2c3b9a2900

189978519808 has 144 divisors (see below), whose sum is σ = 480803742720. Its totient is φ = 72762624000.

The previous prime is 189978519803. The next prime is 189978519811. The reversal of 189978519808 is 808915879981.

It is not an unprimeable number, because it can be changed into a prime (189978519803) 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, 1081333 + ... + 1244683.

It is an arithmetic number, because the mean of its divisors is an integer number (3338914880).

Almost surely, 2189978519808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189978519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240401871360).

189978519808 is an abundant number, since it is smaller than the sum of its proper divisors (290825222912).

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

189978519808 is a wasteful number, since it uses less digits than its factorization.

189978519808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163444 (or 163430 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 73.

The spelling of 189978519808 in words is "one hundred eighty-nine billion, nine hundred seventy-eight million, five hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 128 154 176 224 236 256 308 352 413 448 472 616 649 704 826 896 944 1232 1298 1408 1652 1792 1888 2464 2596 2816 3304 3776 4543 4928 5192 6608 7552 9086 9856 10384 13216 15104 18172 19712 20768 26432 36344 41536 52864 72688 83072 105728 145376 163351 166144 290752 326702 581504 653404 1143457 1163008 1306808 1796861 2286914 2613616 3593722 4573828 5227232 7187444 9147656 9637709 10454464 12578027 14374888 18295312 19275418 20908928 25156054 28749776 36590624 38550836 41817856 50312108 57499552 67463963 73181248 77101672 100624216 106014799 114999104 134927926 146362496 154203344 201248432 212029598 229998208 269855852 292724992 308406688 402496864 424059196 459996416 539711704 616813376 742103593 804993728 848118392 1079423408 1233626752 1484207186 1609987456 1696236784 2158846816 2467253504 2968414372 3219974912 3392473568 4317693632 5936828744 6784947136 8635387264 11873657488 13569894272 17270774528 23747314976 27139788544 47494629952 94989259904 189978519808