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3318354073225 = 521722927392
BaseRepresentation
bin110000010010011101010…
…100001101011010001001
3102202020020210121211101001
4300102131110031122021
5413331442120320400
611020233020055001
7461512623142132
oct60223524153211
912666223554331
103318354073225
11106a340401934
12457152094461
131b0bc5040269
14b68758b2c89
155b4b83eba6a
hex3049d50d689

3318354073225 has 81 divisors (see below), whose sum is σ = 4533098715327. Its totient is φ = 2409105000960.

The previous prime is 3318354073171. The next prime is 3318354073267. The reversal of 3318354073225 is 5223704538133.

The square root of 3318354073225 is 1821635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1081127891529 + 2237226181696 = 1039773^2 + 1495736^2 .

It is not a de Polignac number, because 3318354073225 - 223 = 3318345684617 is a prime.

It is a super-2 number, since 2×33183540732252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4490329906 + ... + 4490330644.

Almost surely, 23318354073225 is an apocalyptic number.

3318354073225 is the 1821635-th square number.

3318354073225 is the 910818-th centered octagonal number.

It is an amenable number.

3318354073225 is a deficient number, since it is larger than the sum of its proper divisors (1214744642102).

3318354073225 is an frugal number, since it uses more digits than its factorization.

3318354073225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 3318354073225 in words is "three trillion, three hundred eighteen billion, three hundred fifty-four million, seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 289 425 493 725 739 841 1445 2465 3695 4205 7225 8381 12325 12563 14297 18475 21025 21431 41905 62815 71485 107155 209525 213571 243049 314075 357425 364327 535775 546121 621499 1067855 1215245 1821635 2730605 3107495 5339275 6076225 6193559 9108175 9284057 10565483 13653025 15537475 15837509 30967795 46420285 52827415 79187545 154838975 157828969 179613211 232101425 264137075 269237653 395937725 459287761 789144845 898066055 1346188265 2296438805 3945724225 4490330275 4577040101 6730941325 7807891937 11482194025 22885200505 39039459685 114426002525 132734162929 195197298425 663670814645 3318354073225