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1017125868 = 22311411631153
BaseRepresentation
bin111100101000000…
…001101111101100
32121212220100101110
4330220001233230
54040341011433
6244532312020
734130266353
oct7450015754
92555810343
101017125868
114821607a0
12244772610
13132955335
149912899a
155e465963
hex3ca01bec

1017125868 has 96 divisors (see below), whose sum is σ = 2670780672. Its totient is φ = 298598400.

The previous prime is 1017125831. The next prime is 1017125887. The reversal of 1017125868 is 8685217101.

1017125868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881580 + ... + 882732.

It is an arithmetic number, because the mean of its divisors is an integer number (27820632).

Almost surely, 21017125868 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 1017125868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335390336).

1017125868 is an abundant number, since it is smaller than the sum of its proper divisors (1653654804).

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

1017125868 is a wasteful number, since it uses less digits than its factorization.

1017125868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The square root of 1017125868 is about 31892.4108213851. The cubic root of 1017125868 is about 1005.6763408557.

It can be divided in two parts, 10 and 17125868, that added together give a triangular number (17125878 = T5852).

The spelling of 1017125868 in words is "one billion, seventeen million, one hundred twenty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 163 164 246 326 451 489 492 652 902 978 1153 1353 1793 1804 1956 2306 2706 3459 3586 4612 5379 5412 6683 6918 7172 10758 12683 13366 13836 20049 21516 25366 26732 38049 40098 47273 50732 73513 76098 80196 94546 141819 147026 152196 187939 189092 220539 283638 294052 375878 441078 520003 563817 567276 751756 882156 1040006 1127634 1560009 2067329 2080012 2255268 3120018 4134658 6201987 6240036 7705499 8269316 12403974 15410998 23116497 24807948 30821996 46232994 84760489 92465988 169520978 254281467 339041956 508562934 1017125868