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2991690526734 = 233713739823829
BaseRepresentation
bin101011100010001110101…
…001101011000000001110
3101121000002001112022001000
4223202032221223000032
5343003440233323414
610210210314401130
7426066610620360
oct53421651530016
911530061468030
102991690526734
11a538503444a8
124039871301a6
13189166153110
14a4b274b0d30
1552c49eb7b09
hex2b88ea6b00e

2991690526734 has 128 divisors (see below), whose sum is σ = 8193483648000. Its totient is φ = 787948642944.

The previous prime is 2991690526681. The next prime is 2991690526753. The reversal of 2991690526734 is 4376250961992.

2991690526734 is a `hidden beast` number, since 2 + 9 + 9 + 16 + 90 + 526 + 7 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 3219532 + ... + 4043360.

It is an arithmetic number, because the mean of its divisors is an integer number (64011591000).

Almost surely, 22991690526734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2991690526734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096741824000).

2991690526734 is an abundant number, since it is smaller than the sum of its proper divisors (5201793121266).

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

2991690526734 is a wasteful number, since it uses less digits than its factorization.

2991690526734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824599 (or 824593 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 2991690526734 in words is "two trillion, nine hundred ninety-one billion, six hundred ninety million, five hundred twenty-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 739 819 1478 1638 2217 2457 4434 4914 5173 6651 9607 10346 13302 15519 19214 19953 28821 31038 39906 46557 57642 67249 86463 93114 134498 139671 172926 201747 259389 279342 403494 518778 605241 823829 1210482 1647658 1815723 2471487 3631446 4942974 5766803 7414461 10709777 11533606 14828922 17300409 21419554 22243383 32129331 34600818 44486766 51901227 64258662 74968439 96387993 103802454 149936878 155703681 192775986 224905317 289163979 311407362 449810634 578327958 608809631 674715951 1217619262 1349431902 1826428893 2024147853 3652857786 4048295706 4261667417 5479286679 7914525203 8523334834 10958573358 12785002251 15829050406 16437860037 23743575609 25570004502 32875720074 38355006753 47487151218 55401676421 71230726827 76710013506 110803352842 115065020259 142461453654 166205029263 213692180481 230130040518 332410058526 427384360962 498615087789 997230175578 1495845263367 2991690526734