Search a number
-
+
676457754676 = 221121782214117
BaseRepresentation
bin10011101100000000000…
…01100011000000110100
32101200001111121102101221
421312000001203000310
542040341141122201
61234432125200124
766605153020534
oct11660001430064
92350044542357
10676457754676
1124097a849300
12ab128400044
134ba35c54172
1424a527c54c4
15128e23874a1
hex9d80063034

676457754676 has 36 divisors (see below), whose sum is σ = 1377744189444. Its totient is φ = 289393688320.

The previous prime is 676457754653. The next prime is 676457754691.

676457754676 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 526022375076 + 150435379600 = 725274^2 + 387860^2 .

It is a super-2 number, since 2×6764577546762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41098831 + ... + 41115286.

It is an arithmetic number, because the mean of its divisors is an integer number (38270671929).

Almost surely, 2676457754676 is an apocalyptic number.

It is an amenable number.

676457754676 is an abundant number, since it is smaller than the sum of its proper divisors (701286434768).

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

676457754676 is a wasteful number, since it uses less digits than its factorization.

676457754676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82214160 (or 82214147 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 70.

The spelling of 676457754676 in words is "six hundred seventy-six billion, four hundred fifty-seven million, seven hundred fifty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 82214117 164428234 328856468 904355287 1397639989 1808710574 2795279978 3617421148 5590559956 9947908157 15374039879 19895816314 30748079758 39791632628 61496159516 169114438669 338228877338 676457754676