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2952790016 = 22811
BaseRepresentation
bin1011000000000000…
…0000000000000000
321121210012021102012
42300000000000000
522021403240031
61205000312052
7133113205151
oct26000000000
97553167365
102952790016
111285855930
126a4a72628
13380995037
14200237928
1512436ab2b
hexb0000000

2952790016 has 58 divisors (see below), whose sum is σ = 6442450932. Its totient is φ = 1342177280.

The previous prime is 2952790003. The next prime is 2952790033. The reversal of 2952790016 is 6100972592.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268435451 + ... + 268435461.

Almost surely, 22952790016 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 2952790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221225466).

2952790016 is an abundant number, since it is smaller than the sum of its proper divisors (3489660916).

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

2952790016 is an frugal number, since it uses more digits than its factorization.

2952790016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 2952790016 is about 54339.5805651829. The cubic root of 2952790016 is about 1434.6441372956.

The spelling of 2952790016 in words is "two billion, nine hundred fifty-two million, seven hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 16384 22528 32768 45056 65536 90112 131072 180224 262144 360448 524288 720896 1048576 1441792 2097152 2883584 4194304 5767168 8388608 11534336 16777216 23068672 33554432 46137344 67108864 92274688 134217728 184549376 268435456 369098752 738197504 1476395008 2952790016