Search a number
-
+
245023333250454 = 232115776997306517
BaseRepresentation
bin110111101101100011110000…
…101111010111010110010110
31012010120000001101022010120100
4313231203300233113112112
5224103430241303003304
62225042055414514530
7102416231420446653
oct6755436057272626
91163500041263510
10245023333250454
11710878a2969340
12235931b6665a46
13a6947a7a4a175
14447129a720c2a
151d4d944bb8439
hexded8f0bd7596

245023333250454 has 96 divisors (see below), whose sum is σ = 580234586813856. Its totient is φ = 74109977948160.

The previous prime is 245023333250411. The next prime is 245023333250473. The reversal of 245023333250454 is 454052333320542.

245023333250454 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 23 + 333 + 250 + 45 + 4 = 666.

It is a super-2 number, since 2×2450233332504542 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799226004 + ... + 799532520.

It is an arithmetic number, because the mean of its divisors is an integer number (6044110279311).

Almost surely, 2245023333250454 is an apocalyptic number.

245023333250454 is an abundant number, since it is smaller than the sum of its proper divisors (335211253563402).

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

245023333250454 is a wasteful number, since it uses less digits than its factorization.

245023333250454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314110 (or 314107 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 245023333250454 its reverse (454052333320542), we get a palindrome (699075666570996).

The spelling of 245023333250454 in words is "two hundred forty-five trillion, twenty-three billion, three hundred thirty-three million, two hundred fifty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 577 1154 1731 3462 5193 6347 6997 10386 12694 13994 19041 20991 38082 41982 57123 62973 76967 114246 125946 153934 230901 306517 461802 613034 692703 919551 1385406 1839102 2758653 3371687 4037269 5517306 6743374 8074538 10115061 12111807 20230122 24223614 30345183 36335421 44409959 60690366 72670842 88819918 133229877 176860309 266459754 353720618 399689631 530580927 799379262 1061161854 1591742781 1945463399 2144699449 3183485562 3890926798 4289398898 5836390197 6434098347 11672780394 12868196694 17509170591 19302295041 23591693939 35018341182 38604590082 47183387878 70775081817 141550163634 212325245451 424650490902 1237491582073 2474983164146 3712474746219 7424949492438 11137424238657 13612407402803 22274848477314 27224814805606 40837222208409 81674444416818 122511666625227 245023333250454