Search a number
-
+
91868001660 = 2235573925579
BaseRepresentation
bin101010110001111000…
…0100111010101111100
322210010102212000200000
41111203300213111330
53001121202023120
6110111550034300
76431401062351
oct1254360472574
9283112760600
1091868001660
1135a63101416
121597a4a8990
138880b313c6
144637036628
1525ca368990
hex1563c2757c

91868001660 has 144 divisors (see below), whose sum is σ = 289389609600. Its totient is φ = 24464026944.

The previous prime is 91868001629. The next prime is 91868001671. The reversal of 91868001660 is 6610086819.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3578751 + ... + 3604329.

Almost surely, 291868001660 is an apocalyptic number.

91868001660 is a gapful number since it is divisible by the number (90) 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 91868001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144694804800).

91868001660 is an abundant number, since it is smaller than the sum of its proper divisors (197521607940).

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

91868001660 is a wasteful number, since it uses less digits than its factorization.

91868001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26342 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 91868001660 in words is "ninety-one billion, eight hundred sixty-eight million, one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 739 810 972 1215 1478 1620 2217 2430 2956 3695 4434 4860 6651 7390 8868 11085 13302 14780 19953 22170 25579 26604 33255 39906 44340 51158 59859 66510 76737 79812 99765 102316 119718 127895 133020 153474 179577 199530 230211 239436 255790 299295 306948 359154 383685 399060 460422 511580 598590 690633 718308 767370 897885 920844 1151055 1197180 1381266 1534740 1795770 2071899 2302110 2762532 3453165 3591540 4143798 4604220 6215697 6906330 8287596 10359495 12431394 13812660 18902881 20718990 24862788 31078485 37805762 41437980 56708643 62156970 75611524 94514405 113417286 124313940 170125929 189028810 226834572 283543215 340251858 378057620 510377787 567086430 680503716 850629645 1020755574 1134172860 1531133361 1701259290 2041511148 2551888935 3062266722 3402518580 4593400083 5103777870 6124533444 7655666805 9186800166 10207555740 15311333610 18373600332 22967000415 30622667220 45934000830 91868001660