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4125046103226 = 232171011103121007
BaseRepresentation
bin111100000001101111111…
…010000101110010111010
3112121100110112222220201200
4330001233322011302322
51020041043300300401
612435004153555030
7604011326230536
oct74015772056272
915540415886650
104125046103226
111350470a92834
12567565715a76
1323bcb45641a9
14103920908bc6
157247de72686
hex3c06fe85cba

4125046103226 has 96 divisors (see below), whose sum is σ = 9565781142528. Its totient is φ = 1280146675200.

The previous prime is 4125046103221. The next prime is 4125046103281. The reversal of 4125046103226 is 6223016405214.

4125046103226 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 0 + 4 + 610 + 32 + 2 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4125046103221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34028815 + ... + 34149821.

It is an arithmetic number, because the mean of its divisors is an integer number (99643553568).

Almost surely, 24125046103226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125046103226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782890571264).

4125046103226 is an abundant number, since it is smaller than the sum of its proper divisors (5440735039302).

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

4125046103226 is a wasteful number, since it uses less digits than its factorization.

4125046103226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122236 (or 122233 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4125046103226 in words is "four trillion, one hundred twenty-five billion, forty-six million, one hundred three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1103 1717 1818 2206 3309 3434 5151 6618 9927 10302 15453 18751 19854 30906 37502 56253 111403 112506 121007 168759 222806 242014 334209 337518 363021 668418 726042 1002627 1089063 1893851 2005254 2057119 2178126 3787702 4114238 5681553 6171357 11363106 12221707 12342714 17044659 18514071 24443414 34089318 36665121 37028142 73330242 109995363 133470721 207769019 219990726 266941442 400412163 415538038 623307057 800824326 1201236489 1246614114 1869921171 2269002257 2402472978 3739842342 4538004514 6807006771 13480542821 13614013542 20421020313 26961085642 40441628463 40842040626 80883256926 121324885389 229169227957 242649770778 458338455914 687507683871 1375015367742 2062523051613 4125046103226