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34891619007 = 373159289173
BaseRepresentation
bin100000011111101100…
…111101101010111111
310100001122201220011110
4200133230331222333
51032424223302012
624010132253103
72343434603520
oct403754755277
9110048656143
1034891619007
1113885455873
126919171193
1333a093750b
14198dd76847
15d932c273c
hex81fb3dabf

34891619007 has 96 divisors (see below), whose sum is σ = 56782909440. Its totient is φ = 18646341120.

The previous prime is 34891619003. The next prime is 34891619017. The reversal of 34891619007 is 70091619843.

It is a happy number.

It is not a de Polignac number, because 34891619007 - 22 = 34891619003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34891619003) 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, 201685573 + ... + 201685745.

It is an arithmetic number, because the mean of its divisors is an integer number (591488640).

Almost surely, 234891619007 is an apocalyptic number.

34891619007 is a deficient number, since it is larger than the sum of its proper divisors (21891290433).

34891619007 is a wasteful number, since it uses less digits than its factorization.

34891619007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 34891619007 in words is "thirty-four billion, eight hundred ninety-one million, six hundred nineteen thousand, seven".

Divisors: 1 3 7 21 31 59 89 93 173 177 217 267 413 519 623 651 1211 1239 1829 1869 2759 3481 3633 5251 5363 5487 8277 10207 10443 12803 15397 15753 16089 19313 24367 30621 36757 37541 38409 46191 57939 71449 73101 107779 107911 110271 112623 162781 214347 309809 316417 323337 323733 477307 488343 602213 755377 908423 929427 949251 1139467 1431921 1806639 2168663 2214919 2266131 2725269 3341149 3418401 4215491 6358961 6505989 6644757 9604079 10023447 12646473 18668603 19076883 28161113 28812237 53596957 56005809 67228553 84483339 130680221 160790871 197127791 201685659 375178699 392040663 591383373 1125536097 1661505667 4984517001 11630539669 34891619007