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4097041962460 = 22517109667316567
BaseRepresentation
bin111011100111101010101…
…110110001010111011100
3112111200011220021011111221
4323213222232301113130
51014111220220244320
612414053300023124
7602000343036346
oct73475256612734
915450156234457
104097041962460
11133a600418347
1256204b091aa4
132394708267b5
1410242559c296
157189068e3aa
hex3b9eabb15dc

4097041962460 has 96 divisors (see below), whose sum is σ = 9195403029120. Its totient is φ = 1527943938048.

The previous prime is 4097041962379. The next prime is 4097041962509. The reversal of 4097041962460 is 642691407904.

It is a junction number, because it is equal to n+sod(n) for n = 4097041962398 and 4097041962407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247293097 + ... + 247309663.

It is an arithmetic number, because the mean of its divisors is an integer number (95785448220).

Almost surely, 24097041962460 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 4097041962460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597701514560).

4097041962460 is an abundant number, since it is smaller than the sum of its proper divisors (5098361066660).

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

4097041962460 is a wasteful number, since it uses less digits than its factorization.

4097041962460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375 (or 23373 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 4097041962460 in words is "four trillion, ninety-seven billion, forty-one million, nine hundred sixty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 6673 7412 9265 13346 16567 18530 26692 33134 33365 37060 66268 66730 82835 113441 133460 165670 226882 281639 331340 453764 563278 567205 727357 1126556 1134410 1408195 1454714 1805803 2268820 2816390 2909428 3611606 3636785 5632780 7223212 7273570 9029015 12365069 14547140 18058030 24730138 30698651 36116060 49460276 61397302 61825345 110551591 122794604 123650690 153493255 221103182 247301380 306986510 442206364 552757955 613973020 1105515910 1879377047 2211031820 3758754094 7517508188 9396885235 12050123419 18793770470 24100246838 37587540940 48200493676 60250617095 120501234190 204852098123 241002468380 409704196246 819408392492 1024260490615 2048520981230 4097041962460