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189895205248 = 27744331427
BaseRepresentation
bin1011000011011010100…
…0101110000110000000
3200011011010022220222221
42300312220232012000
511102401133031443
6223123041140424
716501531420000
oct2606650560600
9604133286887
10189895205248
1173596990361
123097762a714
1314ba39cc998
149296080000
154e162b5eed
hex2c36a2e180

189895205248 has 160 divisors (see below), whose sum is σ = 442660964760. Its totient is φ = 81138806784.

The previous prime is 189895205231. The next prime is 189895205249. The reversal of 189895205248 is 842502598981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189895205249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133072311 + ... + 133073737.

Almost surely, 2189895205248 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 189895205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221330482380).

189895205248 is an abundant number, since it is smaller than the sum of its proper divisors (252765759512).

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

189895205248 is an frugal number, since it uses more digits than its factorization.

189895205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

The spelling of 189895205248 in words is "one hundred eighty-nine billion, eight hundred ninety-five million, two hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 433 448 686 784 866 896 1372 1427 1568 1732 2401 2744 2854 3031 3136 3464 4802 5488 5708 6062 6272 6928 9604 9989 10976 11416 12124 13856 19208 19978 21217 21952 22832 24248 27712 38416 39956 42434 43904 45664 48496 55424 69923 76832 79912 84868 91328 96992 139846 148519 153664 159824 169736 182656 193984 279692 297038 307328 319648 339472 387968 489461 559384 594076 617891 639296 678944 978922 1039633 1118768 1188152 1235782 1278592 1357888 1957844 2079266 2237536 2376304 2471564 2715776 3426227 3915688 4158532 4325237 4475072 4752608 4943128 6852454 7831376 8317064 8650474 8950144 9505216 9886256 13704908 15662752 16634128 17300948 19010432 19772512 27409816 30276659 31325504 33268256 34601896 39545024 54819632 60553318 62651008 66536512 69203792 79090048 109639264 121106636 133073024 138407584 211936613 219278528 242213272 276815168 423873226 438557056 484426544 553630336 847746452 968853088 1483556291 1695492904 1937706176 2967112582 3390985808 3875412352 5934225164 6781971616 11868450328 13563943232 23736900656 27127886464 47473801312 94947602624 189895205248