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3676906016 = 257173239397
BaseRepresentation
bin1101101100101001…
…0010001000100000
3100111020202011211022
43123022102020200
530012241443031
61404504505012
7160055120420
oct33312221040
910436664738
103676906016
111617576a03
1286747b168
134679c9144
1426c48c480
15167c0397b
hexdb292220

3676906016 has 96 divisors (see below), whose sum is σ = 8376721920. Its totient is φ = 1556222976.

The previous prime is 3676906003. The next prime is 3676906031. The reversal of 3676906016 is 6106096763.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261530 + ... + 9261926.

It is an arithmetic number, because the mean of its divisors is an integer number (87257520).

Almost surely, 23676906016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188360960).

3676906016 is an abundant number, since it is smaller than the sum of its proper divisors (4699815904).

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

3676906016 is a wasteful number, since it uses less digits than its factorization.

3676906016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 3676906016 is about 60637.4967821067. The cubic root of 3676906016 is about 1543.4557264410.

The spelling of 3676906016 in words is "three billion, six hundred seventy-six million, nine hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 239 346 397 478 692 794 956 1211 1384 1588 1673 1912 2422 2768 2779 3176 3346 3824 4844 5536 5558 6352 6692 7648 9688 11116 12704 13384 19376 22232 26768 38752 41347 44464 53536 68681 82694 88928 94883 137362 165388 189766 274724 289429 330776 379532 480767 549448 578858 661552 664181 759064 961534 1098896 1157716 1323104 1328362 1518128 1923068 2197792 2315432 2656724 3036256 3846136 4630864 5313448 7692272 9261728 10626896 15384544 16414759 21253792 32829518 65659036 114903313 131318072 229806626 262636144 459613252 525272288 919226504 1838453008 3676906016