Search a number
-
+
107657228288 = 2122310692
BaseRepresentation
bin110010001000011011…
…1101111000000000000
3101021212211001211202102
41210100313233000000
53230440222301123
6121242420005532
710530563225141
oct1442067570000
9337784054672
10107657228288
1141725776045
1218a462308a8
13a1c902a75c
1452d3dbdac8
152c015c8028
hex1910def000

107657228288 has 78 divisors (see below), whose sum is σ = 224858873304. Its totient is φ = 51440074752.

The previous prime is 107657228207. The next prime is 107657228317. The reversal of 107657228288 is 882822756701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100707818 + ... + 100708886.

It is an arithmetic number, because the mean of its divisors is an integer number (2882806068).

Almost surely, 2107657228288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107657228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112429436652).

107657228288 is an abundant number, since it is smaller than the sum of its proper divisors (117201645016).

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

107657228288 is an frugal number, since it uses more digits than its factorization.

107657228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 56.

The spelling of 107657228288 in words is "one hundred seven billion, six hundred fifty-seven million, two hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1069 1472 2048 2138 2944 4096 4276 5888 8552 11776 17104 23552 24587 34208 47104 49174 68416 94208 98348 136832 196696 273664 393392 547328 786784 1094656 1142761 1573568 2189312 2285522 3147136 4378624 4571044 6294272 9142088 12588544 18284176 25177088 26283503 36568352 50354176 52567006 73136704 100708352 105134012 146273408 210268024 292546816 420536048 585093632 841072096 1170187264 1682144192 2340374528 3364288384 4680749056 6728576768 13457153536 26914307072 53828614144 107657228288