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106734376746 = 23213961968917
BaseRepresentation
bin110001101100111011…
…1010101011100101010
3101012111111120010102200
41203121313111130222
53222043000023441
6121011052041030
710465656142644
oct1433167253452
9335444503380
10106734376746
11412a1856018
1218829163176
13a0aca92a5a
1452475d5894
152b9a5857b6
hex18d9dd572a

106734376746 has 48 divisors (see below), whose sum is σ = 233301213600. Its totient is φ = 35264592864.

The previous prime is 106734376739. The next prime is 106734376757. The reversal of 106734376746 is 647673437601.

106734376746 is a `hidden beast` number, since 106 + 7 + 3 + 437 + 67 + 46 = 666.

It is a super-2 number, since 2×1067343767462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106734376692 and 106734376701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514280 + ... + 1583196.

It is an arithmetic number, because the mean of its divisors is an integer number (4860441950).

Almost surely, 2106734376746 is an apocalyptic number.

106734376746 is an abundant number, since it is smaller than the sum of its proper divisors (126566836854).

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

106734376746 is a wasteful number, since it uses less digits than its factorization.

106734376746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69683 (or 69680 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 106734376746 in words is "one hundred six billion, seven hundred thirty-four million, three hundred seventy-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 139 278 417 619 834 1238 1251 1857 2502 3714 5571 11142 68917 86041 137834 172082 206751 258123 413502 516246 620253 774369 1240506 1548738 9579463 19158926 28738389 42659623 57476778 85319246 86215167 127978869 172430334 255957738 383936607 767873214 5929687597 11859375194 17789062791 35578125582 53367188373 106734376746