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106989176464 = 24817732
BaseRepresentation
bin110001110100100001…
…1010100011010010000
3101020011021000021221021
41203221003110122100
53223103212121324
6121052233205224
710505201665162
oct1435103243220
9336137007837
10106989176464
11414126678a5
121889a560814
13a1207c6011
14526d3a0932
152bb2b16ae4
hex18e90d4690

106989176464 has 15 divisors (see below), whose sum is σ = 207294064393. Its totient is φ = 53493934048.

The previous prime is 106989176443. The next prime is 106989176537. The reversal of 106989176464 is 464671989601.

The square root of 106989176464 is 327092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84785792400 + 22203384064 = 291180^2 + 149008^2 .

It is a super-2 number, since 2×1069891764642 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1267482 + ... + 1349254.

Almost surely, 2106989176464 is an apocalyptic number.

106989176464 is the 327092-nd square number.

It is an amenable number.

106989176464 is a deficient number, since it is larger than the sum of its proper divisors (100304887929).

106989176464 is an frugal number, since it uses more digits than its factorization.

106989176464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163554 (or 81775 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 106989176464 in words is "one hundred six billion, nine hundred eighty-nine million, one hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 81773 163546 327092 654184 1308368 6686823529 13373647058 26747294116 53494588232 106989176464