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245425366340 = 225711619257459
BaseRepresentation
bin1110010010010001111…
…1011110010101000100
3212110111010010101110222
43210210133132111010
513010112343210330
6304425153203512
723505604123250
oct3444437362504
9773433111428
10245425366340
11950a2248280
123b694560598
131a1b33b377b
14bc43039260
1565b63d70e5
hex39247de544

245425366340 has 96 divisors (see below), whose sum is σ = 643608806400. Its totient is φ = 76372341120.

The previous prime is 245425366339. The next prime is 245425366387. The reversal of 245425366340 is 43663524542.

245425366340 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-2 number, since 2×2454253663402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 245425366291 and 245425366300.

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 31 ways as a sum of consecutive naturals, for example, 824531 + ... + 1081989.

It is an arithmetic number, because the mean of its divisors is an integer number (6704258400).

Almost surely, 2245425366340 is an apocalyptic number.

245425366340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245425366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321804403200).

245425366340 is an abundant number, since it is smaller than the sum of its proper divisors (398183440060).

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

245425366340 is a wasteful number, since it uses less digits than its factorization.

245425366340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258105 (or 258103 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 245425366340 in words is "two hundred forty-five billion, four hundred twenty-five million, three hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 619 770 1238 1540 2476 3095 4333 6190 6809 8666 12380 13618 17332 21665 27236 34045 43330 47663 68090 86660 95326 136180 190652 238315 257459 476630 514918 953260 1029836 1287295 1802213 2574590 2832049 3604426 5149180 5664098 7208852 9011065 11328196 14160245 18022130 19824343 28320490 36044260 39648686 56640980 79297372 99121715 159367121 198243430 318734242 396486860 637468484 796835605 1115569847 1593671210 1753038331 2231139694 3187342420 3506076662 4462279388 5577849235 7012153324 8765191655 11155698470 12271268317 17530383310 22311396940 24542536634 35060766620 49085073268 61356341585 122712683170 245425366340