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383788923049 = 744722692
BaseRepresentation
bin1011001010110111001…
…10100011100010101001
31100200121220120100001101
411211123212203202221
522241444431014144
6452151000321401
736504435010000
oct5453346434251
91320556510041
10383788923049
11138844929344
126246a173261
132a263c2000c
141480b1a7c37
159eb360b6d4
hex595b9a38a9

383788923049 has 45 divisors (see below), whose sum is σ = 459162795767. Its totient is φ = 320765856432.

The previous prime is 383788923031. The next prime is 383788923061. The reversal of 383788923049 is 940329887383.

The square root of 383788923049 is 619507.

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., 25251434649 + 358537488400 = 158907^2 + 598780^2 .

It is not a de Polignac number, because 383788923049 - 29 = 383788922537 is a prime.

It is a super-2 number, since 2×3837889230492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (383788920049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1426724487 + ... + 1426724755.

Almost surely, 2383788923049 is an apocalyptic number.

383788923049 is the 619507-th square number.

383788923049 is the 309754-th centered octagonal number.

It is an amenable number.

383788923049 is a deficient number, since it is larger than the sum of its proper divisors (75373872718).

383788923049 is an frugal number, since it uses more digits than its factorization.

383788923049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

Multiplying 383788923049 by its sum of digits (64), we get a square (24562491075136 = 49560562).

It can be divided in two parts, 38378892 and 3049, that added together give a triangular number (38381941 = T8761).

The spelling of 383788923049 in words is "three hundred eighty-three billion, seven hundred eighty-eight million, nine hundred twenty-three thousand, forty-nine".

Divisors: 1 7 47 49 269 329 343 1883 2209 2303 2401 12643 13181 15463 16121 72361 88501 92267 108241 112847 506527 594221 619507 645869 757687 3400967 3545689 4159547 4336549 5303809 23806769 24819823 29116829 30355843 159845449 166647383 173738761 203817803 1118918143 1166531681 1426724621 7832427001 8165721767 54826989007 383788923049