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3741247104 = 27375326261
BaseRepresentation
bin1101111011111110…
…1110011010000000
3100122201211001012120
43132333232122000
530130224401404
61415123524240
7161466034650
oct33677563200
910581731176
103741247104
11164a922361
12884b29680
13478135caa
14276c3a360
1516d6b29d9
hexdefee680

3741247104 has 128 divisors (see below), whose sum is σ = 11572087680. Its totient is φ = 1048719360.

The previous prime is 3741247099. The next prime is 3741247187. The reversal of 3741247104 is 4017421473.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129334 + ... + 155594.

It is an arithmetic number, because the mean of its divisors is an integer number (90406935).

Almost surely, 23741247104 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 3741247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786043840).

3741247104 is an abundant number, since it is smaller than the sum of its proper divisors (7830840576).

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

3741247104 is a wasteful number, since it uses less digits than its factorization.

3741247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26338 (or 26326 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3741247104 is about 61165.7347213291. The cubic root of 3741247104 is about 1552.4065431592.

Adding to 3741247104 its reverse (4017421473), we get a palindrome (7758668577).

The spelling of 3741247104 in words is "three billion, seven hundred forty-one million, two hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 848 896 1113 1272 1344 1484 1696 2226 2544 2688 2968 3392 4452 5088 5936 6784 8904 10176 11872 17808 20352 23744 26261 35616 47488 52522 71232 78783 105044 142464 157566 183827 210088 315132 367654 420176 551481 630264 735308 840352 1102962 1260528 1391833 1470616 1680704 2205924 2521056 2783666 2941232 3361408 4175499 4411848 5042112 5567332 5882464 8350998 8823696 9742831 10084224 11134664 11764928 16701996 17647392 19485662 22269328 23529856 29228493 33403992 35294784 38971324 44538656 58456986 66807984 70589568 77942648 89077312 116913972 133615968 155885296 178154624 233827944 267231936 311770592 467655888 534463872 623541184 935311776 1247082368 1870623552 3741247104