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438263690445 = 3457179093551
BaseRepresentation
bin1100110000010101000…
…11010011010011001101
31112220020100110020120000
412120022203103103031
524140031001043240
6533200251514513
743443403621560
oct6301243232315
91486210406500
10438263690445
11159959478369
1270b31758a39
1332435a704a9
14172d7d164d7
15b600c58430
hex660a8d34cd

438263690445 has 80 divisors (see below), whose sum is σ = 950676300288. Its totient is φ = 188563852800.

The previous prime is 438263690393. The next prime is 438263690461. The reversal of 438263690445 is 544096362834.

438263690445 is a `hidden beast` number, since 4 + 3 + 82 + 6 + 36 + 90 + 445 = 666.

It is not a de Polignac number, because 438263690445 - 29 = 438263689933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 438263690391 and 438263690400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4498581 + ... + 4594970.

Almost surely, 2438263690445 is an apocalyptic number.

438263690445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

438263690445 is an abundant number, since it is smaller than the sum of its proper divisors (512412609843).

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

438263690445 is a wasteful number, since it uses less digits than its factorization.

438263690445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093592 (or 9093583 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 438263690445 in words is "four hundred thirty-eight billion, two hundred sixty-three million, six hundred ninety thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 255 315 357 405 459 567 595 765 945 1071 1377 1785 2295 2835 3213 5355 6885 9639 16065 48195 9093551 27280653 45467755 63654857 81841959 136403265 154590367 190964571 245525877 318274285 409209795 463771101 572893713 736577631 772951835 954822855 1082132569 1227629385 1391313303 1718681139 2318855505 2864468565 3246397707 3682888155 4173939909 5156043417 5410662845 6956566515 8593405695 9739193121 12521819727 16231988535 20869699545 25780217085 29217579363 48695965605 62609098635 87652738089 146087896815 438263690445