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245454321404100 = 223524733152592471
BaseRepresentation
bin110111110011110101001001…
…101000101100100011000100
31012012002012111200112210220110
4313303311021220230203010
5224133010422234412400
62230012054130433020
7102462326621351154
oct6763651150544304
91165065450483813
10245454321404100
11712336584a7176
1223642837732770
13a6c63213a06a3
1444880a4274764
151d59c6bd2be50
hexdf3d49a2c8c4

245454321404100 has 144 divisors (see below), whose sum is σ = 727482634131456. Its totient is φ = 63868295568000.

The previous prime is 245454321403981. The next prime is 245454321404101. The reversal of 245454321404100 is 1404123454542.

245454321404100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (245454321404101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21629136 + ... + 30963335.

It is an arithmetic number, because the mean of its divisors is an integer number (5051962737024).

Almost surely, 2245454321404100 is an apocalyptic number.

245454321404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245454321404100 is an abundant number, since it is smaller than the sum of its proper divisors (482028312727356).

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

245454321404100 is a wasteful number, since it uses less digits than its factorization.

245454321404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52592866 (or 52592859 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 245454321404100 its reverse (1404123454542), we get a palindrome (246858444858642).

The spelling of 245454321404100 in words is "two hundred forty-five trillion, four hundred fifty-four billion, three hundred twenty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 331 470 564 662 705 940 993 1175 1324 1410 1655 1986 2350 2820 3310 3525 3972 4700 4965 6620 7050 8275 9930 14100 15557 16550 19860 24825 31114 33100 46671 49650 62228 77785 93342 99300 155570 186684 233355 311140 388925 466710 777850 933420 1166775 1555700 2333550 4667100 52592471 105184942 157777413 210369884 262962355 315554826 525924710 631109652 788887065 1051849420 1314811775 1577774130 2471846137 2629623550 3155548260 3944435325 4943692274 5259247100 7415538411 7888870650 9887384548 12359230685 14831076822 15777741300 17408107901 24718461370 29662153644 34816215802 37077692055 49436922740 52224323703 61796153425 69632431604 74155384110 87040539505 104448647406 123592306850 148310768220 174081079010 185388460275 208897294812 247184613700 261121618515 348162158020 370776920550 435202697525 522243237030 741553841100 818181071347 870405395050 1044486474060 1305608092575 1636362142694 1740810790100 2454543214041 2611216185150 3272724285388 4090905356735 4909086428082 5222432370300 8181810713470 9818172856164 12272716070205 16363621426940 20454526783675 24545432140410 40909053567350 49090864280820 61363580351025 81818107134700 122727160702050 245454321404100