Search a number
-
+
107575829452 = 227134314631481
BaseRepresentation
bin110010000110000000…
…1001110001111001100
3101021200010220100112201
41210030001032033030
53230303403020302
6121230351211244
710525554314560
oct1441401161714
9337603810481
10107575829452
1141693829983
1218a22b16b24
13a1b51ca770
1452c72716a0
152be9399c87
hex190c04e3cc

107575829452 has 96 divisors (see below), whose sum is σ = 232898125824. Its totient is φ = 42338419200.

The previous prime is 107575829441. The next prime is 107575829453. The reversal of 107575829452 is 254928575701.

It is a junction number, because it is equal to n+sod(n) for n = 107575829393 and 107575829402.

It is not an unprimeable number, because it can be changed into a prime (107575829453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72636552 + ... + 72638032.

It is an arithmetic number, because the mean of its divisors is an integer number (2426022144).

Almost surely, 2107575829452 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 107575829452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116449062912).

107575829452 is an abundant number, since it is smaller than the sum of its proper divisors (125322296372).

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

107575829452 is a wasteful number, since it uses less digits than its factorization.

107575829452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 107575829452 in words is "one hundred seven billion, five hundred seventy-five million, eight hundred twenty-nine thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 431 463 862 926 1481 1724 1852 2962 3017 3241 5603 5924 6019 6034 6482 10367 11206 12038 12068 12964 19253 20734 22412 24076 38506 39221 41468 42133 77012 78442 84266 134771 156884 168532 199553 269542 399106 539084 638311 685703 798212 1276622 1371406 1396871 2553244 2594189 2742812 2793742 4468177 4799921 5188378 5587484 8298043 8914139 8936354 9599842 10376756 16596086 17828278 17872708 18159323 19199684 33192172 35656556 36318646 58086301 62398973 72637292 116172602 124797946 232345204 249595892 295537993 591075986 1182151972 2068765951 3841993909 4137531902 7683987818 8275063804 15367975636 26893957363 53787914726 107575829452