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246428845056 = 2103251712
BaseRepresentation
bin1110010110000001001…
…1011100010000000000
3212120002001100101111100
43211200103130100000
513014141241020211
6305112521214400
723542510423212
oct3454023342000
9776061311440
10246428845056
1195567727729
123b914631400
131a31326b164
14bcda4105b2
156624554156
hex39604dc400

246428845056 has 99 divisors (see below), whose sum is σ = 711695574343. Its totient is φ = 82127063040.

The previous prime is 246428845037. The next prime is 246428845057. The reversal of 246428845056 is 650548824642.

The square root of 246428845056 is 496416.

It is a perfect power (a square), and thus also a powerful number.

246428845056 is a `hidden beast` number, since 2 + 4 + 64 + 2 + 88 + 450 + 56 = 666.

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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 246428844993 and 246428845011.

It is not an unprimeable number, because it can be changed into a prime (246428845057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47653351 + ... + 47658521.

Almost surely, 2246428845056 is an apocalyptic number.

246428845056 is the 496416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246428845056

246428845056 is an abundant number, since it is smaller than the sum of its proper divisors (465266729287).

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

246428845056 is an frugal number, since it uses more digits than its factorization.

246428845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 246428845056 in words is "two hundred forty-six billion, four hundred twenty-eight million, eight hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5171 9216 10342 15513 20684 31026 41368 46539 62052 82736 93078 124104 165472 186156 248208 330944 372312 496416 661888 744624 992832 1323776 1489248 1985664 2647552 2978496 3971328 5295104 5956992 7942656 11913984 15885312 23827968 26739241 47655936 53478482 80217723 106956964 160435446 213913928 240653169 320870892 427827856 481306338 641741784 855655712 962612676 1283483568 1711311424 1925225352 2566967136 3422622848 3850450704 5133934272 6845245696 7700901408 10267868544 13690491392 15401802816 20535737088 27380982784 30803605632 41071474176 61607211264 82142948352 123214422528 246428845056