Search a number
-
+
1166394184900 = 2252793710931627
BaseRepresentation
bin10000111110010010100…
…000101101010011000100
311010111200000102211011221
4100332102200231103010
5123102233402404100
62251500055210124
7150161222662510
oct20762240552304
94114600384157
101166394184900
1140a73512288a
1216a07b076944
1385cb5187a09
144064d259140
152051975201a
hex10f9282d4c4

1166394184900 has 144 divisors (see below), whose sum is σ = 2900175515776. Its totient is φ = 398868986880.

The previous prime is 1166394184873. The next prime is 1166394184919. The reversal of 1166394184900 is 94814936611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716897887 + ... + 716899513.

Almost surely, 21166394184900 is an apocalyptic number.

1166394184900 is a gapful number since it is divisible by the number (10) 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 1166394184900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450087757888).

1166394184900 is an abundant number, since it is smaller than the sum of its proper divisors (1733781330876).

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

1166394184900 is a wasteful number, since it uses less digits than its factorization.

1166394184900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 1166394184900 in words is "one trillion, one hundred sixty-six billion, three hundred ninety-four million, one hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 937 1093 1627 1874 2186 3254 3748 4372 4685 5465 6508 6559 7651 8135 9370 10930 11389 13118 15302 16270 18740 21860 22778 23425 26236 27325 30604 32540 32795 38255 40675 45556 46850 54650 56945 65590 76510 81350 93700 109300 113890 131180 153020 162700 163975 191275 227780 284725 327950 382550 569450 655900 765100 1024141 1138900 1524499 1778311 2048282 3048998 3556622 4096564 5120705 6097996 7113244 7168987 7622495 8891555 10241410 10671493 12448177 14337974 15244990 17783110 20482820 21342986 24896354 25603525 28675948 30489980 35566220 35844935 38112475 42685972 44457775 49792708 51207050 53357465 62240885 71689870 76224950 88915550 102414100 106714930 124481770 143379740 152449900 177831100 179224675 213429860 248963540 266787325 311204425 358449350 533574650 622408850 716898700 1067149300 1244817700 1666277407 3332554814 6665109628 8331387035 11663941849 16662774070 23327883698 33325548140 41656935175 46655767396 58319709245 83313870350 116639418490 166627740700 233278836980 291598546225 583197092450 1166394184900