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2968029376 = 261321372003
BaseRepresentation
bin1011000011101000…
…1000100011000000
321122211212111212221
42300322020203000
522034303420001
61210303100424
7133356555604
oct26072104300
97584774787
102968029376
111293414444
126a9ba1714
13383b9c600
14202283504
1512587b1a1
hexb0e888c0

2968029376 has 84 divisors (see below), whose sum is σ = 6427345032. Its totient is φ = 1359181824.

The previous prime is 2968029307. The next prime is 2968029409. The reversal of 2968029376 is 6739208692.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1480791 + ... + 1482793.

Almost surely, 22968029376 is an apocalyptic number.

2968029376 is a gapful number since it is divisible by the number (26) 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 2968029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213672516).

2968029376 is an abundant number, since it is smaller than the sum of its proper divisors (3459315656).

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

2968029376 is a wasteful number, since it uses less digits than its factorization.

2968029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 2968029376 is about 54479.6234935595. The cubic root of 2968029376 is about 1437.1079713936.

The spelling of 2968029376 in words is "two billion, nine hundred sixty-eight million, twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 169 208 274 338 416 548 676 832 1096 1352 1781 2003 2192 2704 3562 4006 4384 5408 7124 8012 8768 10816 14248 16024 23153 26039 28496 32048 46306 52078 56992 64096 92612 104156 113984 128192 185224 208312 274411 338507 370448 416624 548822 677014 740896 833248 1097644 1354028 1481792 1666496 2195288 2708056 3567343 4390576 5416112 7134686 8781152 10832224 14269372 17562304 21664448 28538744 46375459 57077488 92750918 114154976 185501836 228309952 371003672 742007344 1484014688 2968029376