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950919650070 = 235135352188301
BaseRepresentation
bin11011101011001110011…
…10100101101100010110
310100220111020002022120220
431311213032211230112
5111034440412300240
62004502500135210
7125462450442555
oct15654716455426
93326436068526
10950919650070
11337312396625
12134365097506
136b895c12570
143404bd09d9c
1519b079d05d0
hexdd673a5b16

950919650070 has 128 divisors (see below), whose sum is σ = 2508969230208. Its totient is φ = 229212672000.

The previous prime is 950919650063. The next prime is 950919650089. The reversal of 950919650070 is 70056919059.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 950919649995 and 950919650022.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10724920 + ... + 10813220.

It is an arithmetic number, because the mean of its divisors is an integer number (19601322111).

Almost surely, 2950919650070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950919650070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254484615104).

950919650070 is an abundant number, since it is smaller than the sum of its proper divisors (1558049580138).

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

950919650070 is a wasteful number, since it uses less digits than its factorization.

950919650070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88898.

The product of its (nonzero) digits is 765450, while the sum is 51.

The spelling of 950919650070 in words is "nine hundred fifty billion, nine hundred nineteen million, six hundred fifty thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 521 530 689 795 1042 1378 1563 1590 2067 2605 3126 3445 4134 5210 6773 6890 7815 10335 13546 15630 20319 20670 27613 33865 40638 55226 67730 82839 88301 101595 138065 165678 176602 203190 264903 276130 358969 414195 441505 529806 717938 828390 883010 1076907 1147913 1324515 1794845 2153814 2295826 2649030 3443739 3589690 4679953 5384535 5739565 6887478 9359906 10769070 11479130 14039859 17218695 23399765 28079718 34437390 46004821 46799530 60839389 70199295 92009642 121678778 138014463 140398590 182518167 230024105 276028926 304196945 365036334 460048210 598062673 608393890 690072315 912590835 1196125346 1380144630 1794188019 1825181670 2438255513 2990313365 3588376038 4876511026 5980626730 7314766539 8970940095 12191277565 14629533078 17941880190 24382555130 31697321669 36573832695 63394643338 73147665390 95091965007 158486608345 190183930014 316973216690 475459825035 950919650070