Search a number
-
+
245465663550 = 235219563152981
BaseRepresentation
bin1110010010011011100…
…1001100100000111110
3212110120220221200212020
43210212321030200332
513010203202213200
6304433153021010
723506603466652
oct3444671144076
9773526850766
10245465663550
1195112a71158
123b6a5b54766
131a1bb852683
14bc48528a62
1565b9be6ea0
hex3926e4c83e

245465663550 has 96 divisors (see below), whose sum is σ = 641936949120. Its totient is φ = 61901827200.

The previous prime is 245465663549. The next prime is 245465663561. The reversal of 245465663550 is 55366564542.

245465663550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2454656635503 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245465663493 and 245465663502.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1528060 + ... + 1681040.

It is an arithmetic number, because the mean of its divisors is an integer number (6686843220).

Almost surely, 2245465663550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245465663550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320968474560).

245465663550 is an abundant number, since it is smaller than the sum of its proper divisors (396471285570).

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

245465663550 is a wasteful number, since it uses less digits than its factorization.

245465663550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153578 (or 153573 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 245465663550 in words is "two hundred forty-five billion, four hundred sixty-five million, six hundred sixty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 563 570 950 1126 1425 1689 2815 2850 3378 5630 8445 10697 14075 16890 21394 28150 32091 42225 53485 64182 84450 106970 152981 160455 267425 305962 320910 458943 534850 764905 802275 917886 1529810 1604550 2294715 2906639 3824525 4589430 5813278 7649050 8719917 11473575 14533195 17439834 22947150 29066390 43599585 72665975 86128303 87199170 145331950 172256606 217997925 258384909 430641515 435995850 516769818 861283030 1291924545 1636437757 2153207575 2583849090 3272875514 4306415150 4909313271 6459622725 8182188785 9818626542 12919245450 16364377570 24546566355 40910943925 49093132710 81821887850 122732831775 245465663550