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245666912344 = 23724348729927
BaseRepresentation
bin1110010011001011100…
…0111001100001011000
3212111002221122012022021
43210302320321201120
513011111212143334
6304505142304224
723514566205100
oct3446270714130
9774087565267
10245666912344
1195206627377
123b741428074
131a2214561b9
14bc67154200
1565cc6eb3b4
hex3932e39858

245666912344 has 96 divisors (see below), whose sum is σ = 549434983680. Its totient is φ = 102622718016.

The previous prime is 245666912339. The next prime is 245666912377. The reversal of 245666912344 is 443219666542.

It is a happy number.

It is a super-3 number, since 3×2456669123443 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245666912291 and 245666912300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8193909 + ... + 8223835.

It is an arithmetic number, because the mean of its divisors is an integer number (5723281080).

Almost surely, 2245666912344 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 245666912344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274717491840).

245666912344 is an abundant number, since it is smaller than the sum of its proper divisors (303768071336).

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

245666912344 is a wasteful number, since it uses less digits than its factorization.

245666912344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30477 (or 30466 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 245666912344 in words is "two hundred forty-five billion, six hundred sixty-six million, nine hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 487 602 974 1204 1948 2107 2408 3409 3896 4214 6818 8428 13636 16856 20941 23863 27272 29927 41882 47726 59854 83764 95452 119708 146587 167528 190904 209489 239416 293174 418978 586348 837956 1026109 1172696 1286861 1466423 1675912 2052218 2573722 2932846 4104436 5147444 5865692 8208872 9008027 10294888 11731384 14574449 18016054 29148898 36032108 58297796 63056189 72064216 102021143 116595592 126112378 204042286 252224756 408084572 504449512 626701307 714148001 816169144 1253402614 1428296002 2506805228 2856592004 4386909149 5013610456 5713184008 8773818298 17547636596 30708364043 35095273192 61416728086 122833456172 245666912344