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2071478745 = 33573122281
BaseRepresentation
bin111101101111000…
…0100000111011001
312100100212000122000
41323132010013121
513220244304440
6541314551213
7102222164430
oct17336040731
95310760560
102071478745
11973328706
12499898509
13270212c8b
14159184117
15c1cd1730
hex7b7841d9

2071478745 has 96 divisors (see below), whose sum is σ = 4350769920. Its totient is φ = 916012800.

The previous prime is 2071478719. The next prime is 2071478767. The reversal of 2071478745 is 5478741702.

It is not a de Polignac number, because 2071478745 - 28 = 2071478489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2071478745.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 907005 + ... + 909285.

It is an arithmetic number, because the mean of its divisors is an integer number (45320520).

Almost surely, 22071478745 is an apocalyptic number.

It is an amenable number.

2071478745 is an abundant number, since it is smaller than the sum of its proper divisors (2279291175).

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

2071478745 is a wasteful number, since it uses less digits than its factorization.

2071478745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 2071478745 is about 45513.5006893559. The cubic root of 2071478745 is about 1274.7553025217.

The spelling of 2071478745 in words is "two billion, seventy-one million, four hundred seventy-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 189 217 279 315 465 651 837 945 961 1085 1395 1953 2281 2883 3255 4185 4805 5859 6727 6843 8649 9765 11405 14415 15967 20181 20529 25947 29295 33635 34215 43245 47901 60543 61587 70711 79835 100905 102645 129735 143703 181629 212133 239505 302715 307935 353555 431109 494977 636399 718515 908145 1060665 1484931 1909197 2155545 2192041 2474885 3181995 4454793 6576123 7424655 9545985 10960205 13364379 15344287 19728369 22273965 32880615 46032861 59185107 66821895 76721435 98641845 138098583 230164305 295925535 414295749 690492915 2071478745