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2945770688 = 26737712503
BaseRepresentation
bin1010111110010100…
…1110010011000000
321121021222122201002
42233211032103000
522013104130223
61204150031132
7132666431510
oct25745162300
97537878632
102945770688
1112818a1133
126a26484a8
1337c3a80a3
141dd32b840
15123930e28
hexaf94e4c0

2945770688 has 112 divisors (see below), whose sum is σ = 6960559104. Its totient is φ = 1210567680.

The previous prime is 2945770661. The next prime is 2945770721. The reversal of 2945770688 is 8860775492.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 1175645 + ... + 1178147.

Almost surely, 22945770688 is an apocalyptic number.

2945770688 is a gapful number since it is divisible by the number (28) 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 2945770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480279552).

2945770688 is an abundant number, since it is smaller than the sum of its proper divisors (4014788416).

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

2945770688 is a wasteful number, since it uses less digits than its factorization.

2945770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The square root of 2945770688 is about 54274.9545186359. The cubic root of 2945770688 is about 1433.5064304861.

The spelling of 2945770688 in words is "two billion, nine hundred forty-five million, seven hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 71 74 112 142 148 224 259 284 296 448 497 518 568 592 994 1036 1136 1184 1988 2072 2272 2368 2503 2627 3976 4144 4544 5006 5254 7952 8288 10012 10508 15904 16576 17521 18389 20024 21016 31808 35042 36778 40048 42032 70084 73556 80096 84064 92611 140168 147112 160192 168128 177713 185222 280336 294224 355426 370444 560672 588448 648277 710852 740888 1121344 1176896 1243991 1296554 1421704 1481776 2487982 2593108 2843408 2963552 4975964 5186216 5686816 5927104 6575381 9951928 10372432 11373632 13150762 19903856 20744864 26301524 39807712 41489728 46027667 52603048 79615424 92055334 105206096 184110668 210412192 368221336 420824384 736442672 1472885344 2945770688