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86654376512 = 2611237302429
BaseRepresentation
bin101000010110100000…
…0001101101001000000
322021200002111102111022
41100231000031221000
52404432010022022
6103450344005012
76155243022134
oct1205500155100
9267602442438
1086654376512
1133828155700
1214964460768
13822c957902
1442a08473c4
1523c27b5c42
hex142d00da40

86654376512 has 84 divisors (see below), whose sum is σ = 194117114940. Its totient is φ = 38323676160.

The previous prime is 86654376511. The next prime is 86654376517. The reversal of 86654376512 is 21567345668.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68217081856 + 18437294656 = 261184^2 + 135784^2 .

It is a super-2 number, since 2×866543765122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86654376511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135314 + ... + 437742.

It is an arithmetic number, because the mean of its divisors is an integer number (2310918035).

Almost surely, 286654376512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86654376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97058557470).

86654376512 is an abundant number, since it is smaller than the sum of its proper divisors (107462738428).

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

86654376512 is a wasteful number, since it uses less digits than its factorization.

86654376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302500 (or 302479 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 53.

The spelling of 86654376512 in words is "eighty-six billion, six hundred fifty-four million, three hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 148 176 242 296 352 407 484 592 704 814 968 1184 1628 1936 2368 3256 3872 4477 6512 7744 8954 13024 17908 26048 35816 71632 143264 286528 302429 604858 1209716 2419432 3326719 4838864 6653438 9677728 11189873 13306876 19355456 22379746 26613752 36593909 44759492 53227504 73187818 89518984 106455008 123088603 146375636 179037968 212910016 246177206 292751272 358075936 492354412 585502544 716151872 984708824 1171005088 1353974633 1969417648 2342010176 2707949266 3938835296 5415898532 7877670592 10831797064 21663594128 43327188256 86654376512