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4221605045316 = 22317271608912541
BaseRepresentation
bin111101011011101011010…
…001001110010001000100
3112221120200220200101221010
4331123223101032101010
51023131321342422231
612551213435122220
7614000210546331
oct75335321162104
915846626611833
104221605045316
111388410a9a11a
12582212ba3370
132481321a3899
14108480951988
1574c31044546
hex3d6eb44e444

4221605045316 has 96 divisors (see below), whose sum is σ = 10470888368640. Its totient is φ = 1319216025600.

The previous prime is 4221605045293. The next prime is 4221605045323. The reversal of 4221605045316 is 6135405061224.

4221605045316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 336618006 + ... + 336630546.

It is an arithmetic number, because the mean of its divisors is an integer number (109071753840).

Almost surely, 24221605045316 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 4221605045316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235444184320).

4221605045316 is an abundant number, since it is smaller than the sum of its proper divisors (6249283323324).

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

4221605045316 is a wasteful number, since it uses less digits than its factorization.

4221605045316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 4221605045316 in words is "four trillion, two hundred twenty-one billion, six hundred five million, forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 271 542 813 1084 1626 3252 4607 6089 9214 12178 12541 13821 18267 18428 24356 25082 27642 36534 37623 50164 55284 73068 75246 103513 150492 207026 213197 310539 414052 426394 621078 639591 852788 1242156 1279182 1650119 2558364 3300238 3398611 4950357 6600476 6797222 9900714 10195833 13594444 19801428 20391666 28052023 40783332 56104046 57776387 76362149 84156069 112208092 115552774 152724298 168312138 173329161 229086447 231105548 305448596 336624276 346658322 458172894 693316644 916345788 1298156533 2596313066 3894469599 5192626132 7788939198 15577878396 20694142379 41388284758 62082427137 82776569516 124164854274 248329708548 351800420443 703600840886 1055401261329 1407201681772 2110802522658 4221605045316