Search a number
-
+
667107101040 = 24357733595877
BaseRepresentation
bin10011011010100101010…
…11101000100101110000
32100202220211201000000220
421231102223220211300
541412213404213130
61230244220213040
766124351540632
oct11552253504560
92322824630026
10667107101040
11237a11626886
12a935899a180
134aba594c313
14244069b2a52
15125464e3410
hex9b52ae8970

667107101040 has 80 divisors (see below), whose sum is σ = 2070707921568. Its totient is φ = 177665041408.

The previous prime is 667107100967. The next prime is 667107101051. The reversal of 667107101040 is 40101701766.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 667107100992 and 667107101010.

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 15 ways as a sum of consecutive naturals, for example, 1612419 + ... + 1983458.

Almost surely, 2667107101040 is an apocalyptic number.

667107101040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

667107101040 is an abundant number, since it is smaller than the sum of its proper divisors (1403600820528).

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

667107101040 is a wasteful number, since it uses less digits than its factorization.

667107101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596666 (or 3596660 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 667107101040 in words is "six hundred sixty-seven billion, one hundred seven million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 773 1546 2319 3092 3865 4638 6184 7730 9276 11595 12368 15460 18552 23190 30920 37104 46380 61840 92760 185520 3595877 7191754 10787631 14383508 17979385 21575262 28767016 35958770 43150524 53938155 57534032 71917540 86301048 107876310 143835080 172602096 215752620 287670160 431505240 863010480 2779612921 5559225842 8338838763 11118451684 13898064605 16677677526 22236903368 27796129210 33355355052 41694193815 44473806736 55592258420 66710710104 83388387630 111184516840 133421420208 166776775260 222369033680 333553550520 667107101040