Search a number
-
+
2949738519552 = 2103115911313093
BaseRepresentation
bin101010111011001010000…
…111011101110000000000
3101102222210100102112002020
4222323022013131300000
5341312031030111202
610135031405321440
7423053161502466
oct52731207356000
911388710375066
102949738519552
11a37a82549590
123b7819566280
1318520b85b126
14a2aa797c836
1551ae1e4d5bc
hex2aeca1ddc00

2949738519552 has 352 divisors, whose sum is σ = 8800098197760. Its totient is φ = 870867271680.

The previous prime is 2949738519547. The next prime is 2949738519593. The reversal of 2949738519552 is 2559158379492.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 225284718 + ... + 225297810.

Almost surely, 22949738519552 is an apocalyptic number.

2949738519552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949738519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400049098880).

2949738519552 is an abundant number, since it is smaller than the sum of its proper divisors (5850359678208).

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

2949738519552 is a wasteful number, since it uses less digits than its factorization.

2949738519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13299 (or 13281 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 69.

The spelling of 2949738519552 in words is "two trillion, nine hundred forty-nine billion, seven hundred thirty-eight million, five hundred nineteen thousand, five hundred fifty-two".