Search a number
-
+
169076981940 = 223517214276833
BaseRepresentation
bin1001110101110111000…
…1100000000010110100
3121011102021011121101020
42131131301200002310
510232232201410230
6205401202301140
715133612430256
oct2353561400264
9534367147336
10169076981940
1165783604029
12289276577b0
1312c36961659
14827d247cd6
1545e87c3810
hex275dc600b4

169076981940 has 144 divisors (see below), whose sum is σ = 503327708352. Its totient is φ = 42399064064.

The previous prime is 169076981929. The next prime is 169076981947. The reversal of 169076981940 is 49189670961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169076981947) by changing a digit.

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, 24740764 + ... + 24747596.

It is an arithmetic number, because the mean of its divisors is an integer number (3495331308).

Almost surely, 2169076981940 is an apocalyptic number.

169076981940 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 169076981940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251663854176).

169076981940 is an abundant number, since it is smaller than the sum of its proper divisors (334250726412).

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

169076981940 is a wasteful number, since it uses less digits than its factorization.

169076981940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 169076981940 in words is "one hundred sixty-nine billion, seventy-six million, nine hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1427 1445 1734 2854 2890 3468 4281 4335 5708 5780 6833 7135 8562 8670 13666 14270 17124 17340 20499 21405 24259 27332 28540 34165 40998 42810 48518 68330 72777 81996 85620 97036 102495 116161 121295 136660 145554 204990 232322 242590 291108 348483 363885 409980 412403 464644 485180 580805 696966 727770 824806 1161610 1237209 1393932 1455540 1649612 1742415 1974737 2062015 2323220 2474418 3484830 3949474 4124030 4948836 5924211 6186045 6969660 7898948 8248060 9750691 9873685 11848422 12372090 19501382 19747370 23696844 24744180 29252073 29621055 39002764 39494740 48753455 58504146 59242110 97506910 117008292 118484220 146260365 165761747 195013820 292520730 331523494 497285241 585041460 663046988 828808735 994570482 1657617470 1989140964 2486426205 2817949699 3315234940 4972852410 5635899398 8453849097 9945704820 11271798796 14089748495 16907698194 28179496990 33815396388 42269245485 56358993980 84538490970 169076981940