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245168825512 = 2313113131163977
BaseRepresentation
bin1110010001010100110…
…0110110010010101000
3212102211020101202121211
43210111030312102220
513004101204404022
6304343510442504
723466340426642
oct3442514662250
9772736352554
10245168825512
1194a80457366
123b622663434
131a1721c0b70
14bc1ad39892
15659db0ee77
hex39153364a8

245168825512 has 128 divisors (see below), whose sum is σ = 506851551360. Its totient is φ = 110501314560.

The previous prime is 245168825507. The next prime is 245168825513. The reversal of 245168825512 is 215528861542.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (245168825513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250939968 + ... + 250940944.

It is an arithmetic number, because the mean of its divisors is an integer number (3959777745).

Almost surely, 2245168825512 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 245168825512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253425775680).

245168825512 is an abundant number, since it is smaller than the sum of its proper divisors (261682725848).

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

245168825512 is a wasteful number, since it uses less digits than its factorization.

245168825512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1399 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 49.

The spelling of 245168825512 in words is "two hundred forty-five billion, one hundred sixty-eight million, eight hundred twenty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 113 131 163 226 262 326 452 524 652 904 977 1048 1304 1469 1703 1954 2119 2938 3406 3908 4238 5876 6812 7816 8476 11752 12701 13624 14803 16952 18419 21353 25402 29606 36838 42706 50804 59212 73676 85412 101608 110401 118424 127987 147352 159251 170824 192439 220802 239447 255974 277589 318502 384878 441604 478894 511948 555178 637004 769756 883208 957788 1023896 1110356 1274008 1435213 1539512 1663831 1915576 2070263 2220712 2412889 2870426 3327662 4140526 4825778 5740852 6655324 8281052 9651556 11481704 13310648 14462531 16562104 17995363 19303112 20861881 28925062 31367557 35990726 41723762 57850124 62735114 71981452 83447524 115700248 125470228 143962904 166895048 188012903 233939719 250940456 271204453 376025806 467879438 542408906 752051612 935758876 1084817812 1504103224 1871517752 2169635624 2357392553 4714785106 9429570212 18859140424 30646103189 61292206378 122584412756 245168825512