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938765983376 = 2413213715716141
BaseRepresentation
bin11011010100100101101…
…00000001111010010000
310022202010012211002011102
431222102310001322100
5110340043042432001
61555132501003532
7124552332125144
oct15522264017220
93282105732142
10938765983376
11332145a18991
12131b329b35a8
136a6a9c96c00
1433617b2b224
1519645a08e6b
hexda92d01e90

938765983376 has 120 divisors (see below), whose sum is σ = 1996670033064. Its totient is φ = 427347947520.

The previous prime is 938765983357. The next prime is 938765983381. The reversal of 938765983376 is 673389567839.

It can be written as a sum of positive squares in 12 ways, for example, as 569004696976 + 369761286400 = 754324^2 + 608080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58152266 + ... + 58168406.

Almost surely, 2938765983376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938765983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998335016532).

938765983376 is an abundant number, since it is smaller than the sum of its proper divisors (1057904049688).

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

938765983376 is a wasteful number, since it uses less digits than its factorization.

938765983376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16469 (or 16450 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 74.

The spelling of 938765983376 in words is "nine hundred thirty-eight billion, seven hundred sixty-five million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 137 157 169 208 274 314 338 548 628 676 1096 1256 1352 1781 2041 2192 2512 2704 3562 4082 7124 8164 14248 16141 16328 21509 23153 26533 28496 32282 32656 43018 46306 53066 64564 86036 92612 106132 129128 172072 185224 209833 212264 258256 279617 344144 370448 419666 424528 559234 839332 1118468 1678664 2211317 2236936 2534137 2727829 3357328 3635021 4422634 4473872 5068274 5455658 7270042 8845268 10136548 10911316 14540084 17690536 20273096 21822632 28747121 29080168 32943781 35381072 40546192 43645264 57494242 58160336 65887562 114988484 131775124 229976968 263550248 347176769 373712573 428269153 459953936 527100496 694353538 747425146 856538306 1388707076 1494850292 1713076612 2777414152 2989700584 3426153224 4513297997 5554828304 5979401168 6852306448 9026595994 18053191988 36106383976 58672873961 72212767952 117345747922 234691495844 469382991688 938765983376