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2135791368 = 233319737129
BaseRepresentation
bin111111101001101…
…1001011100001000
312111211212102222000
41333103121130020
513333230310433
6551533231000
7103632632664
oct17723313410
95454772860
102135791368
119a6664737
124b7332460
1328063cb99
141639258a4
15c7787113
hex7f4d9708

2135791368 has 128 divisors (see below), whose sum is σ = 6331440000. Its totient is φ = 665127936.

The previous prime is 2135791351. The next prime is 2135791397. The reversal of 2135791368 is 8631975312.

2135791368 is a `hidden beast` number, since 2 + 1 + 3 + 579 + 13 + 68 = 666.

It is a super-2 number, since 2×21357913682 = 9123209535246622848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296028 + ... + 303156.

It is an arithmetic number, because the mean of its divisors is an integer number (49464375).

Almost surely, 22135791368 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 2135791368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165720000).

2135791368 is an abundant number, since it is smaller than the sum of its proper divisors (4195648632).

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

2135791368 is a wasteful number, since it uses less digits than its factorization.

2135791368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7226 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2135791368 is about 46214.6228806424. The cubic root of 2135791368 is about 1287.8134077009.

The spelling of 2135791368 in words is "two billion, one hundred thirty-five million, seven hundred ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 108 114 146 152 171 216 219 228 292 342 438 456 513 584 657 684 876 1026 1314 1368 1387 1752 1971 2052 2628 2774 3942 4104 4161 5256 5548 7129 7884 8322 11096 12483 14258 15768 16644 21387 24966 28516 33288 37449 42774 49932 57032 64161 74898 85548 99864 128322 135451 149796 171096 192483 256644 270902 299592 384966 406353 513288 520417 541804 769932 812706 1040834 1083608 1219059 1539864 1561251 1625412 2081668 2438118 3122502 3250824 3657177 4163336 4683753 4876236 6245004 7314354 9367506 9752472 9887923 12490008 14051259 14628708 18735012 19775846 28102518 29257416 29663769 37470024 39551692 56205036 59327538 79103384 88991307 112410072 118655076 177982614 237310152 266973921 355965228 533947842 711930456 1067895684 2135791368