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1148606027082 = 237673390191
BaseRepresentation
bin10000101101101110010…
…000010001010101001010
311001210202022212210000000
4100231232100101111022
5122304321120331312
62235355021223430
7145661346066213
oct20555620212512
94053668783000
101148606027082
11403137181608
12166735a01b76
138440bac9947
143d842a1440a
151ed27c91adc
hex10b6e41154a

1148606027082 has 64 divisors (see below), whose sum is σ = 2587815774720. Its totient is φ = 382298797440.

The previous prime is 1148606027039. The next prime is 1148606027099. The reversal of 1148606027082 is 2807206068411.

1148606027082 is a `hidden beast` number, since 1 + 14 + 8 + 606 + 0 + 27 + 0 + 8 + 2 = 666.

It is a super-3 number, since 3×11486060270823 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 2748607 + ... + 3138797.

It is an arithmetic number, because the mean of its divisors is an integer number (40434621480).

Almost surely, 21148606027082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148606027082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293907887360).

1148606027082 is an abundant number, since it is smaller than the sum of its proper divisors (1439209747638).

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

1148606027082 is an frugal number, since it uses more digits than its factorization.

1148606027082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390887 (or 390869 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1148606027082 in words is "one trillion, one hundred forty-eight billion, six hundred six million, twenty-seven thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 673 729 1346 1458 2019 2187 4038 4374 6057 12114 18171 36342 54513 109026 163539 327078 390191 490617 780382 981234 1170573 1471851 2341146 2943702 3511719 7023438 10535157 21070314 31605471 63210942 94816413 189632826 262598543 284449239 525197086 568898478 787795629 853347717 1575591258 1706695434 2363386887 4726773774 7090160661 14180321322 21270481983 42540963966 63811445949 127622891898 191434337847 382868675694 574303013541 1148606027082