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202495290647056 = 24114294012
BaseRepresentation
bin101110000010101100011011…
…110111100010001000010000
3222112222100201222012201000121
4232002230123313202020100
5203020140323401201211
61554401015144000024
760436542034001251
oct5602543367421020
9875870658181017
10202495290647056
1159580852590000
121a864b3b160014
1388cb2bb0b7034
143800b78092b28
15186257950b271
hexb82b1bde2210

202495290647056 has 75 divisors (see below), whose sum is σ = 431580087588765. Its totient is φ = 92040183312000.

The previous prime is 202495290647009. The next prime is 202495290647077. The reversal of 202495290647056 is 650746092594202.

The square root of 202495290647056 is 14230084.

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

It can be written as a sum of positive squares in only one way, i.e., 22493355056656 + 180001935590400 = 4742716^2 + 13416480^2 .

It is a super-2 number, since 2×2024952906470562 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202495290646985 and 202495290647003.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6887345956 + ... + 6887375356.

Almost surely, 2202495290647056 is an apocalyptic number.

202495290647056 is the 14230084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202495290647056

202495290647056 is an abundant number, since it is smaller than the sum of its proper divisors (229084796941709).

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

202495290647056 is an frugal number, since it uses more digits than its factorization.

202495290647056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58854 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 202495290647056 in words is "two hundred two trillion, four hundred ninety-five billion, two hundred ninety million, six hundred forty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 10648 14641 21296 29282 29401 58564 58802 117128 117604 234256 235208 323411 470416 646822 1293644 2587288 3557521 5174576 7115042 14230084 28460168 39132731 56920336 78265462 156530924 313061848 430460041 626123696 860920082 864418801 1721840164 1728837602 3443680328 3457675204 6887360656 6915350408 9508606811 13830700816 19017213622 38034427244 76068854488 104594674921 152137708976 209189349842 418378699684 836757399368 1150541424131 1673514798736 2301082848262 4602165696524 9204331393048 12655955665441 18408662786096 25311911330882 50623822661764 101247645323528 202495290647056