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6706736670672 = 2432167113278701
BaseRepresentation
bin110000110011000100010…
…1010000010011111010000
3212202011021000021021111100
41201212020222002133100
51334340344041430142
622133010550344400
71261355121045033
oct141461052023720
925664230237440
106706736670672
112156347008475
1290398865b100
1339859a3a41ac
14192871aa501a
15b96ce690b4c
hex61988a827d0

6706736670672 has 60 divisors (see below), whose sum is σ = 18769727429284. Its totient is φ = 2235557491200.

The previous prime is 6706736670661. The next prime is 6706736670737. The reversal of 6706736670672 is 2760766376076.

It can be written as a sum of positive squares in 2 ways, for example, as 4794943749696 + 1911792920976 = 2189736^2 + 1382676^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23924922 + ... + 24203622.

Almost surely, 26706736670672 is an apocalyptic number.

It is an amenable number.

6706736670672 is an abundant number, since it is smaller than the sum of its proper divisors (12062990758612).

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

6706736670672 is a wasteful number, since it uses less digits than its factorization.

6706736670672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445828 (or 445819 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 63.

The spelling of 6706736670672 in words is "six trillion, seven hundred six billion, seven hundred thirty-six million, six hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167113 278701 334226 501339 557402 668452 836103 1002678 1114804 1336904 1504017 1672206 2005356 2229608 2508309 2673808 3008034 3344412 4010712 4459216 5016618 6016068 6688824 8021424 10033236 12032136 13377648 20066472 24064272 40132944 46574560213 93149120426 139723680639 186298240852 279447361278 372596481704 419171041917 558894722556 745192963408 838342083834 1117789445112 1676684167668 2235578890224 3353368335336 6706736670672