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40963736025 = 325210321312
BaseRepresentation
bin100110001001101000…
…010000000111011001
310220201211111101210100
4212021220100013121
51132343204023100
630452443010013
72650056003552
oct461150200731
9126654441710
1040963736025
1116410a631a3
127b32809909
133b2a933574
141da8599329
1510eb403400
hex989a101d9

40963736025 has 81 divisors (see below), whose sum is σ = 74659743327. Its totient is φ = 21470061600.

The previous prime is 40963735999. The next prime is 40963736039. The reversal of 40963736025 is 52063736904.

The square root of 40963736025 is 202395.

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

40963736025 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 37 + 3 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14746944969 + 26216791056 = 121437^2 + 161916^2 .

It is not a de Polignac number, because 40963736025 - 217 = 40963604953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 312700210 + ... + 312700340.

Almost surely, 240963736025 is an apocalyptic number.

40963736025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40963736025 is the 202395-th square number.

40963736025 is the 101198-th centered octagonal number.

It is an amenable number.

40963736025 is a deficient number, since it is larger than the sum of its proper divisors (33696007302).

40963736025 is a wasteful number, since it uses less digits than its factorization.

40963736025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 40963736025 in words is "forty billion, nine hundred sixty-three million, seven hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 131 225 309 393 515 655 927 1179 1545 1965 2575 3275 4635 5895 7725 9825 10609 13493 17161 23175 29475 31827 40479 51483 53045 67465 85805 95481 121437 154449 159135 202395 257415 265225 337325 429025 477405 607185 772245 795675 1011975 1287075 1389779 1767583 2387025 3035925 3861225 4169337 5302749 6948895 8837915 12508011 15908247 20846685 26513745 34744475 44189575 62540055 79541235 104233425 132568725 182061049 312700275 397706175 546183147 910305245 1638549441 2730915735 4551526225 8192747205 13654578675 40963736025