Search a number
-
+
107577110472 = 23313973839281
BaseRepresentation
bin110010000110000011…
…0000110111111001000
3101021200020022102202220
41210030012012333020
53230304220013342
6121230434454040
710525601231406
oct1441406067710
9337606272686
10107577110472
1141694524377
1218a23434320
13a1b5558870
1452c74c6476
152be954e5ec
hex190c186fc8

107577110472 has 128 divisors (see below), whose sum is σ = 293412188160. Its totient is φ = 32670351360.

The previous prime is 107577110449. The next prime is 107577110519. The reversal of 107577110472 is 274011775701.

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, 11586472 + ... + 11595752.

It is an arithmetic number, because the mean of its divisors is an integer number (2292282720).

Almost surely, 2107577110472 is an apocalyptic number.

107577110472 is a gapful number since it is divisible by the number (12) 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 107577110472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146706094080).

107577110472 is an abundant number, since it is smaller than the sum of its proper divisors (185835077688).

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

107577110472 is a wasteful number, since it uses less digits than its factorization.

107577110472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 96040, while the sum is 42.

The spelling of 107577110472 in words is "one hundred seven billion, five hundred seventy-seven million, one hundred ten thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 312 383 388 582 766 776 1149 1164 1261 1532 2298 2328 2522 3064 3783 4596 4979 5044 7566 9192 9281 9958 10088 14937 15132 18562 19916 27843 29874 30264 37124 37151 39832 55686 59748 74248 74302 111372 111453 119496 120653 148604 222744 222906 241306 297208 361959 445812 482612 482963 723918 891624 900257 965224 965926 1447836 1448889 1800514 1931852 2700771 2895672 2897778 3554623 3601028 3863704 5401542 5795556 7109246 7202056 10663869 10803084 11591112 11703341 14218492 21327738 21606168 23406682 28436984 35110023 42655476 46210099 46813364 70220046 85310952 92420198 93626728 138630297 140440092 184840396 277260594 280880184 344798431 369680792 554521188 689596862 1034395293 1109042376 1379193724 2068790586 2758387448 4137581172 4482379603 8275162344 8964759206 13447138809 17929518412 26894277618 35859036824 53788555236 107577110472