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2129954346 = 2331341431721
BaseRepresentation
bin111111011110100…
…1000011000101010
312111102212220002000
41332331020120222
513330232014341
6551204151430
7103532212302
oct17675103052
95442786060
102129954346
119a3338253
124b5398576
1327c378120
14162c46602
15c6ed28b6
hex7ef4862a

2129954346 has 128 divisors (see below), whose sum is σ = 5346190080. Its totient is φ = 624153600.

The previous prime is 2129954291. The next prime is 2129954363. The reversal of 2129954346 is 6434599212.

2129954346 is a `hidden beast` number, since 2 + 12 + 99 + 543 + 4 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1236766 + ... + 1238486.

It is an arithmetic number, because the mean of its divisors is an integer number (41767110).

Almost surely, 22129954346 is an apocalyptic number.

2129954346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129954346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673095040).

2129954346 is an abundant number, since it is smaller than the sum of its proper divisors (3216235734).

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

2129954346 is a wasteful number, since it uses less digits than its factorization.

2129954346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1823 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2129954346 is about 46151.4284285980. The cubic root of 2129954346 is about 1286.6391585690.

The spelling of 2129954346 in words is "two billion, one hundred twenty-nine million, nine hundred fifty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 43 54 78 82 86 117 123 129 234 246 258 351 369 387 533 559 702 738 774 1066 1107 1118 1161 1599 1677 1721 1763 2214 2322 3198 3354 3442 3526 4797 5031 5163 5289 9594 10062 10326 10578 14391 15093 15489 15867 22373 22919 28782 30186 30978 31734 44746 45838 46467 47601 67119 68757 70561 74003 92934 95202 134238 137514 141122 148006 201357 206271 211683 222009 402714 412542 423366 444018 604071 618813 635049 666027 917293 962039 1208142 1237626 1270098 1332054 1834586 1905147 1924078 1998081 2751879 2886117 3034123 3810294 3996162 5503758 5772234 6068246 8255637 8658351 9102369 16511274 17316702 18204738 24766911 25975053 27307107 39443599 49533822 51950106 54614214 78887198 81921321 118330797 163842642 236661594 354992391 709984782 1064977173 2129954346