Search a number
-
+
34687913407147 = 71121341113679969
BaseRepresentation
bin1111110001100011010001…
…10000011011001010101011
311112211010120022211022202001
413320301220300123022223
514021311321313012042
6201435224000551431
710210055555026660
oct770615060331253
9145733508738661
1034687913407147
1110064074896200
123a82900022577
131648096611c10
1487cc926b1a67
154024a3bb3bb7
hex1f8c68c1b2ab

34687913407147 has 96 divisors (see below), whose sum is σ = 48496852978560. Its totient is φ = 24126352588800.

The previous prime is 34687913407139. The next prime is 34687913407159. The reversal of 34687913407147 is 74170431978643.

It is not a de Polignac number, because 34687913407147 - 23 = 34687913407139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34687913707147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50673979 + ... + 51353947.

It is an arithmetic number, because the mean of its divisors is an integer number (505175551860).

Almost surely, 234687913407147 is an apocalyptic number.

34687913407147 is a deficient number, since it is larger than the sum of its proper divisors (13808939571413).

34687913407147 is a wasteful number, since it uses less digits than its factorization.

34687913407147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680165 (or 680154 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 64.

The spelling of 34687913407147 in words is "thirty-four trillion, six hundred eighty-seven billion, nine hundred thirteen million, four hundred seven thousand, one hundred forty-seven".

Divisors: 1 7 11 13 41 77 91 113 121 143 287 451 533 791 847 1001 1243 1469 1573 3157 3731 4633 4961 5863 8701 10283 11011 13673 16159 32431 34727 41041 50963 60229 64493 95711 113113 177749 356741 421603 451451 560593 662519 679969 1244243 3924151 4637633 4759783 7287709 7479659 8839597 27878729 51013963 52357613 61877179 76836497 82276249 97235567 195151103 306666019 362423477 537855479 575933743 680648969 845201467 998874461 1069591237 2146662133 2536964339 3150296377 3373326209 3986658247 5916410269 6992121227 7487138659 9297216137 10987619071 22052074639 23613283463 27906607729 34653260147 40953852901 43853240717 65080512959 76913333497 120863809781 242572821029 286676970307 306972685019 381185861617 450492381911 846046668467 2668301031319 3153446673377 4955416201021 34687913407147