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4247161466256 = 243429113004509
BaseRepresentation
bin111101110011011110100…
…011001110110110010000
3120001000122222121002210000
4331303132203032312100
51024041141313410011
613011041414010000
7615563422544232
oct75633643166620
916030588532700
104247161466256
111398235a19465
12587165946900
1324a675a88057
141097c6b7a252
15757299c7356
hex3dcde8ced90

4247161466256 has 100 divisors (see below), whose sum is σ = 12716397510300. Its totient is φ = 1366902528768.

The previous prime is 4247161466243. The next prime is 4247161466257. The reversal of 4247161466256 is 6526641617424.

4247161466256 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 1 + 6 + 1 + 4 + 6 + 625 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1778542304400 + 2468619161856 = 1333620^2 + 1571184^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4247161466257) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56464671 + ... + 56539838.

It is an arithmetic number, because the mean of its divisors is an integer number (127163975103).

Almost surely, 24247161466256 is an apocalyptic number.

It is an amenable number.

4247161466256 is an abundant number, since it is smaller than the sum of its proper divisors (8469236044044).

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

4247161466256 is a wasteful number, since it uses less digits than its factorization.

4247161466256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113004558 (or 113004543 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 4247161466256 in words is "four trillion, two hundred forty-seven billion, one hundred sixty-one million, four hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 37584 113004509 226009018 339013527 452018036 678027054 904036072 1017040581 1356054108 1808072144 2034081162 2712108216 3051121743 3277130761 4068162324 5424216432 6102243486 6554261522 8136324648 9153365229 9831392283 12204486972 13108523044 16272649296 18306730458 19662784566 24408973944 26217046088 29494176849 36613460916 39325569132 48817947888 52434092176 58988353698 73226921832 78651138264 88482530547 117976707396 146453843664 157302276528 176965061094 235953414792 265447591641 353930122188 471906829584 530895183282 707860244376 1061790366564 1415720488752 2123580733128 4247161466256