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642646306150 = 252411379912309
BaseRepresentation
bin10010101101000001011…
…01000110110101100110
32021102210010101212120121
421112200231012311212
541012114423244100
61211121100352154
764300242321052
oct11264055066546
92242703355517
10642646306150
112285aa0a4612
12a4670b4565a
13487a80469a4
14231660a8c62
1511ab3d3051a
hex95a0b46d66

642646306150 has 96 divisors (see below), whose sum is σ = 1235193442560. Its totient is φ = 248599296000.

The previous prime is 642646306129. The next prime is 642646306213. The reversal of 642646306150 is 51603646246.

It is a super-3 number, since 3×6426463061503 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 642646306097 and 642646306106.

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 47 ways as a sum of consecutive naturals, for example, 278321196 + ... + 278323504.

It is an arithmetic number, because the mean of its divisors is an integer number (12866598360).

Almost surely, 2642646306150 is an apocalyptic number.

642646306150 is a deficient number, since it is larger than the sum of its proper divisors (592547136410).

642646306150 is a wasteful number, since it uses less digits than its factorization.

642646306150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 642646306150 in words is "six hundred forty-two billion, six hundred forty-six million, three hundred six thousand, one hundred fifty".

Divisors: 1 2 5 10 25 41 50 82 137 205 274 410 685 991 1025 1370 1982 2050 2309 3425 4618 4955 5617 6850 9910 11234 11545 23090 24775 28085 40631 49550 56170 57725 81262 94669 115450 135767 140425 189338 203155 271534 280850 316333 406310 473345 632666 678835 946690 1015775 1357670 1581665 2031550 2288219 2366725 3163330 3394175 4576438 4733450 5566447 6788350 7908325 11132894 11441095 12969653 15816650 22882190 25939306 27832235 55664470 57205475 64848265 93816979 114410950 129696530 139161175 187633958 278322350 313486003 324241325 469084895 626972006 648482650 938169790 1567430015 2345424475 3134860030 4690848950 7837150075 12852926123 15674300150 25705852246 64264630615 128529261230 321323153075 642646306150