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2010164624226 = 233116771711397
BaseRepresentation
bin11101010000000111001…
…001011111101101100010
321010011120211101021002000
4131100013021133231202
5230413304120433401
64135242404104430
7265141516246023
oct35200711375542
97104524337060
102010164624226
11705562586480
12285700095116
131177333a1015
146d414826c4a
1537450558186
hex1d40725fb62

2010164624226 has 128 divisors (see below), whose sum is σ = 5015526635520. Its totient is φ = 591596913600.

The previous prime is 2010164624203. The next prime is 2010164624233. The reversal of 2010164624226 is 6224264610102.

2010164624226 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 6 + 4 + 624 + 2 + 26 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469960 + ... + 3181356.

It is an arithmetic number, because the mean of its divisors is an integer number (39183801840).

Almost surely, 22010164624226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010164624226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507763317760).

2010164624226 is an abundant number, since it is smaller than the sum of its proper divisors (3005362011294).

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

2010164624226 is a wasteful number, since it uses less digits than its factorization.

2010164624226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711557 (or 711551 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2010164624226 in words is "two trillion, ten billion, one hundred sixty-four million, six hundred twenty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 71 99 134 142 198 201 213 297 402 426 594 603 639 737 781 1206 1278 1474 1562 1809 1917 2211 2343 3618 3834 4422 4686 4757 6633 7029 9514 13266 14058 14271 19899 21087 28542 39798 42174 42813 52327 85626 104654 128439 156981 256878 313962 470943 711397 941886 1412829 1422794 2134191 2825658 4268382 6402573 7825367 12805146 15650734 19207719 23476101 38415438 46952202 47663599 50509187 70428303 95327198 101018374 140856606 142990797 151527561 211284909 285981594 303055122 422569818 428972391 454582683 524299589 555601057 857944782 909165366 1048599178 1111202114 1286917173 1363748049 1572898767 1666803171 2573834346 2727496098 3145797534 3333606342 3384115529 4718696301 5000409513 6768231058 9437392602 10000819026 10152346587 14156088903 15001228539 20304693174 28312177806 30002457078 30457039761 37225270819 60914079522 74450541638 91371119283 111675812457 182742238566 223351624914 335027437371 670054874742 1005082312113 2010164624226