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2973445120 = 2105836997
BaseRepresentation
bin1011000100111011…
…0010110000000000
321200020001122220001
42301032302300000
522042200220440
61211015125344
7133453603132
oct26116626000
97606048801
102973445120
111296483368
126ab973854
133850476a9
14202c93052
1512609ab9a
hexb13b2c00

2973445120 has 88 divisors (see below), whose sum is σ = 7219752624. Its totient is φ = 1174880256.

The previous prime is 2973445103. The next prime is 2973445157. The reversal of 2973445120 is 215443792.

It is a self number, because there is not a number n which added to its sum of digits gives 2973445120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421462 + ... + 428458.

Almost surely, 22973445120 is an apocalyptic number.

2973445120 is a gapful number since it is divisible by the number (20) 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 2973445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609876312).

2973445120 is an abundant number, since it is smaller than the sum of its proper divisors (4246307504).

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

2973445120 is an equidigital number, since it uses as much as digits as its factorization.

2973445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7087 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2973445120 is about 54529.3051486996. The cubic root of 2973445120 is about 1437.9815341533.

The spelling of 2973445120 in words is "two billion, nine hundred seventy-three million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2560 2656 3320 5120 5312 6640 6997 10624 13280 13994 21248 26560 27988 34985 42496 53120 55976 69970 84992 106240 111952 139940 212480 223904 279880 424960 447808 559760 580751 895616 1119520 1161502 1791232 2239040 2323004 2903755 3582464 4478080 4646008 5807510 7164928 8956160 9292016 11615020 17912320 18584032 23230040 35824640 37168064 46460080 74336128 92920160 148672256 185840320 297344512 371680640 594689024 743361280 1486722560 2973445120