Search a number
-
+
10067007441044 = 2210733767696569
BaseRepresentation
bin1001001001111110100001…
…1001110000100010010100
31022122101201001112221120002
42102133220121300202110
52304414212401103134
633224415215030432
72056213554242261
oct222375031604224
938571631487502
1010067007441044
113231437288274
12116707850b418
135804125c5518
1426b362518268
15126cec97e87e
hex927e8670894

10067007441044 has 24 divisors (see below), whose sum is σ = 17782462474560. Its totient is φ = 4986306798656.

The previous prime is 10067007441013. The next prime is 10067007441053. The reversal of 10067007441044 is 44014470076001.

It is a junction number, because it is equal to n+sod(n) for n = 10067007440989 and 10067007441007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14103992 + ... + 14800560.

It is an arithmetic number, because the mean of its divisors is an integer number (740935936440).

Almost surely, 210067007441044 is an apocalyptic number.

It is an amenable number.

10067007441044 is a deficient number, since it is larger than the sum of its proper divisors (7715455033516).

10067007441044 is a wasteful number, since it uses less digits than its factorization.

10067007441044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730447 (or 730445 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 10067007441044 in words is "ten trillion, sixty-seven billion, seven million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 4 107 214 428 33767 67534 135068 696569 1393138 2786276 3613069 7226138 14452276 74532883 149065766 298131532 23521045423 47042090846 94084181692 2516751860261 5033503720522 10067007441044