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677710107040 = 2554235688169
BaseRepresentation
bin10011101110010101010…
…10111001000110100000
32101210021210010111212211
421313022222321012200
542100422241411130
61235200303331504
766651200601601
oct11671252710640
92353253114784
10677710107040
1124146276215a
12ab4178b0b94
134bba5548675
1424b30c61da8
15129672b4a2a
hex9dcaab91a0

677710107040 has 24 divisors (see below), whose sum is σ = 1601090128260. Its totient is φ = 271084042752.

The previous prime is 677710107037. The next prime is 677710107043. The reversal of 677710107040 is 40701017776.

It is an interprime number because it is at equal distance from previous prime (677710107037) and next prime (677710107043).

It can be written as a sum of positive squares in 2 ways, for example, as 673036470544 + 4673636496 = 820388^2 + 68364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 677710106984 and 677710107002.

It is not an unprimeable number, because it can be changed into a prime (677710107043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2117843925 + ... + 2117844244.

Almost surely, 2677710107040 is an apocalyptic number.

It is an amenable number.

677710107040 is an abundant number, since it is smaller than the sum of its proper divisors (923380021220).

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

677710107040 is a wasteful number, since it uses less digits than its factorization.

677710107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235688184 (or 4235688176 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 677710107040 in words is "six hundred seventy-seven billion, seven hundred ten million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4235688169 8471376338 16942752676 21178440845 33885505352 42356881690 67771010704 84713763380 135542021408 169427526760 338855053520 677710107040