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189323895552 = 28311113198323
BaseRepresentation
bin1011000001010010010…
…1010110001100000000
3200002200022022101102120
42300110211112030000
511100213404124202
6222550232044240
716451423363031
oct2602445261400
9602608271376
10189323895552
1173323448990
1230838233680
1314b1253abcc
149240244a88
154dd10640bc
hex2c14956300

189323895552 has 144 divisors (see below), whose sum is σ = 554551982208. Its totient is φ = 56862883840.

The previous prime is 189323895521. The next prime is 189323895571. The reversal of 189323895552 is 255598323981.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855463 + ... + 1053785.

It is an arithmetic number, because the mean of its divisors is an integer number (3851055432).

Almost surely, 2189323895552 is an apocalyptic number.

189323895552 is a gapful number since it is divisible by the number (12) 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 189323895552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277275991104).

189323895552 is an abundant number, since it is smaller than the sum of its proper divisors (365228086656).

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

189323895552 is a wasteful number, since it uses less digits than its factorization.

189323895552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198466 (or 198452 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 60.

The spelling of 189323895552 in words is "one hundred eighty-nine billion, three hundred twenty-three million, eight hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 256 264 339 352 384 452 528 678 704 768 904 1056 1243 1356 1408 1808 2112 2486 2712 2816 3616 3729 4224 4972 5424 7232 7458 8448 9944 10848 14464 14916 19888 21696 28928 29832 39776 43392 59664 79552 86784 119328 159104 198323 238656 318208 396646 477312 594969 793292 954624 1189938 1586584 2181553 2379876 3173168 4363106 4759752 6346336 6544659 8726212 9519504 12692672 13089318 17452424 19039008 22410499 25385344 26178636 34904848 38078016 44820998 50770688 52357272 67231497 69809696 76156032 89641996 104714544 134462994 139619392 152312064 179283992 209429088 246515489 268925988 279238784 358567984 418858176 493030978 537851976 558477568 717135968 739546467 837716352 986061956 1075703952 1434271936 1479092934 1675432704 1972123912 2151407904 2868543872 2958185868 3944247824 4302815808 5737087744 5916371736 7888495648 8605631616 11832743472 15776991296 17211263232 23665486944 31553982592 47330973888 63107965184 94661947776 189323895552