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2972972976 = 2434110114957
BaseRepresentation
bin1011000100110011…
…1111011110110000
321200012011200020020
42301030333132300
522042040113401
61211001043440
7133446565461
oct26114773660
97605150206
102972972976
111296190666
126ab786580
13384c1080c
14202bacd68
15126005d36
hexb133f7b0

2972972976 has 80 divisors (see below), whose sum is σ = 7945928928. Its totient is φ = 957184000.

The previous prime is 2972972941. The next prime is 2972972987. The reversal of 2972972976 is 6792792792.

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, 191290 + ... + 206246.

Almost surely, 22972972976 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 2972972976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972964464).

2972972976 is an abundant number, since it is smaller than the sum of its proper divisors (4972955952).

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

2972972976 is a wasteful number, since it uses less digits than its factorization.

2972972976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15110 (or 15104 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 60.

The square root of 2972972976 is about 54524.9757083852. The cubic root of 2972972976 is about 1437.9054192692.

The spelling of 2972972976 in words is "two billion, nine hundred seventy-two million, nine hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 101 123 164 202 246 303 328 404 492 606 656 808 984 1212 1616 1968 2424 4141 4848 8282 12423 14957 16564 24846 29914 33128 44871 49692 59828 66256 89742 99384 119656 179484 198768 239312 358968 613237 717936 1226474 1510657 1839711 2452948 3021314 3679422 4531971 4905896 6042628 7358844 9063942 9811792 12085256 14717688 18127884 24170512 29435376 36255768 61936937 72511536 123873874 185810811 247747748 371621622 495495496 743243244 990990992 1486486488 2972972976