Search a number
-
+
169156693760 = 2852910742589
BaseRepresentation
bin1001110110001010000…
…1100100111100000000
3121011121211011101102212
42131202201210330000
510232413103200020
6205413131001252
715135601113245
oct2354241447400
9534554141385
10169156693760
11658145a876a
122894a299228
1312c4a320802
148289a775cc
1546007bbcc5
hex2762864f00

169156693760 has 144 divisors (see below), whose sum is σ = 423082245600. Its totient is φ = 64717406208.

The previous prime is 169156693753. The next prime is 169156693787. The reversal of 169156693760 is 67396651961.

It is a happy number.

It is a super-2 number, since 2×1691566937602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 169156693760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3950546 + ... + 3993134.

It is an arithmetic number, because the mean of its divisors is an integer number (2938071150).

Almost surely, 2169156693760 is an apocalyptic number.

169156693760 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 169156693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211541122800).

169156693760 is an abundant number, since it is smaller than the sum of its proper divisors (253925551840).

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

169156693760 is a wasteful number, since it uses less digits than its factorization.

169156693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42746 (or 42732 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 59.

The spelling of 169156693760 in words is "one hundred sixty-nine billion, one hundred fifty-six million, six hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 107 116 128 145 160 214 232 256 290 320 428 464 535 580 640 856 928 1070 1160 1280 1712 1856 2140 2320 3103 3424 3712 4280 4640 6206 6848 7424 8560 9280 12412 13696 15515 17120 18560 24824 27392 31030 34240 37120 42589 49648 62060 68480 85178 99296 124120 136960 170356 198592 212945 248240 340712 397184 425890 496480 681424 794368 851780 992960 1235081 1362848 1703560 1985920 2470162 2725696 3407120 3971840 4557023 4940324 5451392 6175405 6814240 9114046 9880648 10902784 12350810 13628480 18228092 19761296 22785115 24701620 27256960 36456184 39522592 45570230 49403240 54513920 72912368 79045184 91140460 98806480 132153667 145824736 158090368 182280920 197612960 264307334 291649472 316180736 364561840 395225920 528614668 583298944 660768335 729123680 790451840 1057229336 1166597888 1321536670 1458247360 1580903680 2114458672 2643073340 2916494720 4228917344 5286146680 5832989440 8457834688 10572293360 16915669376 21144586720 33831338752 42289173440 84578346880 169156693760