Search a number
-
+
171155887320 = 233511239954049
BaseRepresentation
bin1001111101100110101…
…1111001010011011000
3121100210010222221102210
42133121223321103120
510301011401343240
6210343344355120
715236255016015
oct2373153712330
9540703887383
10171155887320
1166650044450
1229207915aa0
13131a8574a92
1483d93a270c
1546bb070780
hex27d9af94d8

171155887320 has 128 divisors (see below), whose sum is σ = 560390400000. Its totient is φ = 41474273280.

The previous prime is 171155887319. The next prime is 171155887369. The reversal of 171155887320 is 23788551171.

It is a self number, because there is not a number n which added to its sum of digits gives 171155887320.

It is a congruent number.

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, 3139656 + ... + 3193704.

It is an arithmetic number, because the mean of its divisors is an integer number (4378050000).

Almost surely, 2171155887320 is an apocalyptic number.

171155887320 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 171155887320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280195200000).

171155887320 is an abundant number, since it is smaller than the sum of its proper divisors (389234512680).

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

171155887320 is a wasteful number, since it uses less digits than its factorization.

171155887320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56473 (or 56469 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 171155887320 in words is "one hundred seventy-one billion, one hundred fifty-five million, eight hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2399 4798 7197 9596 11995 14394 19192 23990 26389 28788 35985 47980 52778 54049 57576 71970 79167 95960 105556 108098 131945 143940 158334 162147 211112 216196 263890 270245 287880 316668 324294 395835 432392 527780 540490 594539 633336 648588 791670 810735 1055560 1080980 1189078 1297176 1583340 1621470 1783617 2161960 2378156 2972695 3166680 3242940 3567234 4756312 5945390 6485880 7134468 8918085 11890780 14268936 17836170 23781560 35672340 71344680 129663551 259327102 388990653 518654204 648317755 777981306 1037308408 1296635510 1426299061 1555962612 1944953265 2593271020 2852598122 3111925224 3889906530 4278897183 5186542040 5705196244 7131495305 7779813060 8557794366 11410392488 14262990610 15559626120 17115588732 21394485915 28525981220 34231177464 42788971830 57051962440 85577943660 171155887320