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34164465027 = 3711319115237
BaseRepresentation
bin11111110100010111…
…000101110110000011
310021011222110122102120
4133310113011312003
51024432100340102
623410035015323
72316425106210
oct376427056603
9107158418376
1034164465027
1113541a4a270
12675573a543
1332b60ab6a4
141921570b07
15d4e5396bc
hex7f45c5d83

34164465027 has 64 divisors (see below), whose sum is σ = 58700464128. Its totient is φ = 17153136000.

The previous prime is 34164465019. The next prime is 34164465047. The reversal of 34164465027 is 72056446143.

It is a happy number.

It is not a de Polignac number, because 34164465027 - 23 = 34164465019 is a prime.

It is a super-2 number, since 2×341644650272 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34164465027.

It is not an unprimeable number, because it can be changed into a prime (34164465047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6521053 + ... + 6526289.

It is an arithmetic number, because the mean of its divisors is an integer number (917194752).

Almost surely, 234164465027 is an apocalyptic number.

34164465027 is a deficient number, since it is larger than the sum of its proper divisors (24535999101).

34164465027 is a wasteful number, since it uses less digits than its factorization.

34164465027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 34164465027 in words is "thirty-four billion, one hundred sixty-four million, four hundred sixty-five thousand, twenty-seven".

Divisors: 1 3 7 11 21 31 33 77 93 217 231 341 651 911 1023 2387 2733 5237 6377 7161 10021 15711 19131 28241 30063 36659 57607 70147 84723 109977 162347 172821 197687 210441 310651 403249 487041 593061 931953 1136429 1209747 1785817 2174557 3409287 4770907 5357451 6523671 12500719 14312721 33396349 37502157 52479977 100189047 147898117 157439931 367359839 443694351 1035286819 1102079517 1626879287 3105860457 4880637861 11388155009 34164465027