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106744003434 = 23219361949639
BaseRepresentation
bin110001101101001110…
…0000011101101101010
3101012112011200012202200
41203122130003231222
53222102431102214
6121012034241030
710466134026045
oct1433234035552
9335464605680
10106744003434
11412a7230762
1218830426176
13a0b1a83713
1452489bdc5c
152b9b337d09
hex18da703b6a

106744003434 has 48 divisors (see below), whose sum is σ = 232857268800. Its totient is φ = 35339079168.

The previous prime is 106744003381. The next prime is 106744003447. The reversal of 106744003434 is 434300447601.

It is a super-2 number, since 2×1067440034342 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125587 + ... + 2175225.

It is an arithmetic number, because the mean of its divisors is an integer number (4851193100).

Almost surely, 2106744003434 is an apocalyptic number.

106744003434 is an abundant number, since it is smaller than the sum of its proper divisors (126113265366).

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

106744003434 is a wasteful number, since it uses less digits than its factorization.

106744003434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50459 (or 50456 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 106744003434 in words is "one hundred six billion, seven hundred forty-four million, three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 193 386 579 619 1158 1238 1737 1857 3474 3714 5571 11142 49639 99278 119467 148917 238934 297834 358401 446751 716802 893502 1075203 2150406 9580327 19160654 28740981 30726541 57481962 61453082 86222943 92179623 172445886 184359246 276538869 553077738 5930222413 11860444826 17790667239 35581334478 53372001717 106744003434