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126445505300550 = 23252299689310751
BaseRepresentation
bin11100110000000001100011…
…011011010100100001000110
3121120201001221200010201221100
4130300001203123110201012
5113033140343324104200
61124532132504400530
735430246332236152
oct3460014333244106
9546631850121840
10126445505300550
1137320268350867
1212221b9ba76146
1355729b58c8837
142331dd0826062
15e9420ee88d00
hex7300636d4846

126445505300550 has 72 divisors (see below), whose sum is σ = 351431300975040. Its totient is φ = 32556084120000.

The previous prime is 126445505300537. The next prime is 126445505300567. The reversal of 126445505300550 is 55003505544621.

126445505300550 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 45 + 5 + 0 + 53 + 0 + 0 + 550 = 666.

It is a super-2 number, since 2×1264455053005502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 126445505300496 and 126445505300505.

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 35 ways as a sum of consecutive naturals, for example, 4844642326 + ... + 4844668425.

It is an arithmetic number, because the mean of its divisors is an integer number (4880990291320).

Almost surely, 2126445505300550 is an apocalyptic number.

126445505300550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126445505300550 is an abundant number, since it is smaller than the sum of its proper divisors (224985795674490).

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

126445505300550 is a wasteful number, since it uses less digits than its factorization.

126445505300550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689310798 (or 9689310790 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 126445505300550 in words is "one hundred twenty-six trillion, four hundred forty-five billion, five hundred five million, three hundred thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 9689310751 19378621502 29067932253 48446553755 58135864506 87203796759 96893107510 145339661265 174407593518 242232768775 280990011779 290679322530 436018983795 484465537550 561980023558 726698306325 842970035337 872037967590 1404950058895 1453396612650 1685940070674 2180094918975 2528910106011 2809900117790 4214850176685 4360189837950 5057820212022 7024750294475 8429700353370 12644550530055 14049500588950 21074250883425 25289101060110 42148501766850 63222752650275 126445505300550