Search a number
-
+
625113016540 = 225294133077949
BaseRepresentation
bin10010001100010111010…
…00111010100011011100
32012202112012102110211221
421012023220322203130
540220212413012130
61155101205223124
763106611653455
oct11061350724334
92182465373757
10625113016540
11221122001621
12a1199101aa4
1346c427140cc
142238164a12c
15113d991687a
hex918ba3a8dc

625113016540 has 96 divisors (see below), whose sum is σ = 1391721912000. Its totient is φ = 235433748480.

The previous prime is 625113016529. The next prime is 625113016543. The reversal of 625113016540 is 45610311526.

It is a junction number, because it is equal to n+sod(n) for n = 625113016496 and 625113016505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625113016543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78636486 + ... + 78644434.

It is an arithmetic number, because the mean of its divisors is an integer number (14497103250).

Almost surely, 2625113016540 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 625113016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695860956000).

625113016540 is an abundant number, since it is smaller than the sum of its proper divisors (766608895460).

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

625113016540 is a wasteful number, since it uses less digits than its factorization.

625113016540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 625113016540 in words is "six hundred twenty-five billion, one hundred thirteen million, sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 3307 4756 5945 6614 7949 11890 13228 15898 16535 23780 31796 33070 39745 66140 79490 95903 135587 158980 191806 230521 271174 325909 383612 461042 479515 542348 651818 677935 922084 959030 1152605 1303636 1355870 1629545 1918060 2305210 2711740 3259090 3932023 4610420 6518180 7864046 9451361 15728092 18902722 19660115 26287343 37805444 39320230 47256805 52574686 78640460 94513610 105149372 131436715 189027220 262873430 525746860 762332947 1077781063 1524665894 2155562126 3049331788 3811664735 4311124252 5388905315 7623329470 10777810630 15246658940 21555621260 31255650827 62511301654 125022603308 156278254135 312556508270 625113016540