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2606682168 = 233329676211
BaseRepresentation
bin1001101101011110…
…1101000000111000
320201122221011201000
42123113231000320
520314302312133
61110354125000
7121411301316
oct23327550070
96648834630
102606682168
111118449992
12608b80760
133270725ac
141aa2a10b6
15103ca0413
hex9b5ed038

2606682168 has 128 divisors (see below), whose sum is σ = 7603488000. Its totient is φ = 826277760.

The previous prime is 2606682121. The next prime is 2606682173. The reversal of 2606682168 is 8612866062.

2606682168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416583 + ... + 422793.

It is an arithmetic number, because the mean of its divisors is an integer number (59402250).

Almost surely, 22606682168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606682168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801744000).

2606682168 is an abundant number, since it is smaller than the sum of its proper divisors (4996805832).

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

2606682168 is a wasteful number, since it uses less digits than its factorization.

2606682168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2606682168 is about 51055.6771378071. The cubic root of 2606682168 is about 1376.2458646090.

The spelling of 2606682168 in words is "two billion, six hundred six million, six hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 67 72 87 108 116 134 174 201 216 232 261 268 348 402 522 536 603 696 783 804 1044 1206 1566 1608 1809 1943 2088 2412 3132 3618 3886 4824 5829 6211 6264 7236 7772 11658 12422 14472 15544 17487 18633 23316 24844 34974 37266 46632 49688 52461 55899 69948 74532 104922 111798 139896 149064 167697 180119 209844 223596 335394 360238 416137 419688 447192 540357 670788 720476 832274 1080714 1248411 1341576 1440952 1621071 1664548 2161428 2496822 3242142 3329096 3745233 4322856 4863213 4993644 6484284 7490466 9726426 9987288 11235699 12067973 12968568 14980932 19452852 22471398 24135946 29961864 36203919 38905704 44942796 48271892 72407838 89885592 96543784 108611757 144815676 217223514 289631352 325835271 434447028 651670542 868894056 1303341084 2606682168