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189817500672 = 21032163126359
BaseRepresentation
bin1011000011001000000…
…0010011010000000000
3200010221201010010100200
42300302000103100000
511102221240010142
6223111223445200
716466566064022
oct2606200232000
9603851103320
10189817500672
11735570377a8
12309555b6800
1314b90894347
149289a14012
154e0e56764c
hex2c32013400

189817500672 has 132 divisors (see below), whose sum is σ = 551460817440. Its totient is φ = 62883827712.

The previous prime is 189817500671. The next prime is 189817500679. The reversal of 189817500672 is 276005718981.

It is a super-2 number, since 2×1898175006722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189817500671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1439029 + ... + 1565387.

Almost surely, 2189817500672 is an apocalyptic number.

189817500672 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 189817500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275730408720).

189817500672 is an abundant number, since it is smaller than the sum of its proper divisors (361643316768).

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

189817500672 is a wasteful number, since it uses less digits than its factorization.

189817500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126548 (or 126527 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 189817500672 in words is "one hundred eighty-nine billion, eight hundred seventeen million, five hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 512 576 652 768 978 1024 1152 1304 1467 1536 1956 2304 2608 2934 3072 3912 4608 5216 5868 7824 9216 10432 11736 15648 20864 23472 31296 41728 46944 62592 83456 93888 125184 126359 166912 187776 250368 252718 375552 379077 500736 505436 751104 758154 1010872 1137231 1502208 1516308 2021744 2274462 3032616 4043488 4548924 6065232 8086976 9097848 12130464 16173952 18195696 20596517 24260928 32347904 36391392 41193034 48521856 61789551 64695808 72782784 82386068 97043712 123579102 129391616 145565568 164772136 185368653 194087424 247158204 291131136 329544272 370737306 388174848 494316408 582262272 659088544 741474612 988632816 1164524544 1318177088 1482949224 1977265632 2636354176 2965898448 3954531264 5272708352 5931796896 7909062528 10545416704 11863593792 15818125056 21090833408 23727187584 31636250112 47454375168 63272500224 94908750336 189817500672