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2976694056 = 233372298597
BaseRepresentation
bin1011000101101100…
…1011111100101000
321200110011201121000
42301123023330220
522044013202211
61211212515000
7133523324220
oct26133137450
97613151530
102976694056
1112982a2336
126b0a7ba60
1338591443b
1420349b080
151264dd656
hexb16cbf28

2976694056 has 128 divisors (see below), whose sum is σ = 9492192000. Its totient is φ = 846671616.

The previous prime is 2976694051. The next prime is 2976694069. The reversal of 2976694056 is 6504966792.

It is a super-2 number, since 2×29766940562 = 17721415006051462272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2976693993 and 2976694011.

It is not an unprimeable number, because it can be changed into a prime (2976694051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341950 + ... + 350546.

It is an arithmetic number, because the mean of its divisors is an integer number (74157750).

Almost surely, 22976694056 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 2976694056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746096000).

2976694056 is an abundant number, since it is smaller than the sum of its proper divisors (6515497944).

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

2976694056 is a wasteful number, since it uses less digits than its factorization.

2976694056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 2976694056 is about 54559.0877489718. The cubic root of 2976694056 is about 1438.5050805480.

The spelling of 2976694056 in words is "two billion, nine hundred seventy-six million, six hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 229 252 378 458 504 687 756 916 1374 1512 1603 1832 2061 2748 3206 4122 4809 5496 6183 6412 8244 8597 9618 12366 12824 14427 16488 17194 19236 24732 25791 28854 34388 38472 43281 49464 51582 57708 60179 68776 77373 86562 103164 115416 120358 154746 173124 180537 206328 232119 240716 309492 346248 361074 464238 481432 541611 618984 722148 928476 1083222 1444296 1624833 1856952 1968713 2166444 3249666 3937426 4332888 5906139 6499332 7874852 11812278 12998664 13780991 15749704 17718417 23624556 27561982 35436834 41342973 47249112 53155251 55123964 70873668 82685946 106310502 110247928 124028919 141747336 165371892 212621004 248057838 330743784 372086757 425242008 496115676 744173514 992231352 1488347028 2976694056