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45387775332025 = 527223283692
BaseRepresentation
bin10100101000111101010100…
…01110011100111010111001
312221201000210002202000211221
422110132222032130322321
521422113130441111100
6240310504531552041
712363105245535400
oct1224365216347271
9187630702660757
1045387775332025
1113509935a10a45
12511055615b621
131c430834221c9
14b2cacc642637
1553a9909d801a
hex2947aa39ceb9

45387775332025 has 81 divisors (see below), whose sum is σ = 68447992115181. Its totient is φ = 29766312871680.

The previous prime is 45387775332019. The next prime is 45387775332041. The reversal of 45387775332025 is 52023357778354.

The square root of 45387775332025 is 6737045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 365876185129 + 45021899146896 = 604877^2 + 6709836^2 .

It is not a de Polignac number, because 45387775332025 - 213 = 45387775323833 is a prime.

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, 5423317041 + ... + 5423325409.

Almost surely, 245387775332025 is an apocalyptic number.

45387775332025 is the 6737045-th square number.

45387775332025 is the 3368523-rd centered octagonal number.

It is an amenable number.

45387775332025 is a deficient number, since it is larger than the sum of its proper divisors (23060216783156).

45387775332025 is an frugal number, since it uses more digits than its factorization.

45387775332025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16808 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 61.

The spelling of 45387775332025 in words is "forty-five trillion, three hundred eighty-seven billion, seven hundred seventy-five million, three hundred thirty-two thousand, twenty-five".

Divisors: 1 5 7 23 25 35 49 115 161 175 245 529 575 805 1127 1225 2645 3703 4025 5635 8369 13225 18515 25921 28175 41845 58583 92575 129605 192487 209225 292915 410081 648025 962435 1347409 1464575 2050405 4427201 4812175 6737045 9431863 10252025 22136005 30990407 33685225 47159315 70040161 110680025 154952035 216932849 235796575 350200805 490281127 774760175 1084664245 1610923703 1751004025 2451405635 3431967889 5423321225 8054618515 11276465921 12257028175 17159839445 37051245169 40273092575 56382329605 78935261447 85799197225 185256225845 259358716183 281911648025 394676307235 926281129225 1296793580915 1815511013281 1973381536175 6483967904575 9077555066405 45387775332025