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93442703312 = 24731237111351
BaseRepresentation
bin101011100000110011…
…1100111111111010000
322221012011221011020102
41113001213213333100
53012332313001222
6110532121231532
76515411605310
oct1270147477720
9287164834212
1093442703312
11366a0a74042
12161399325a8
138a7214a22a
144746223440
15266d71bd92
hex15c19e7fd0

93442703312 has 80 divisors (see below), whose sum is σ = 213692227584. Its totient is φ = 38735280000.

The previous prime is 93442703311. The next prime is 93442703317. The reversal of 93442703312 is 21330724439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93442703311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8226437 + ... + 8237787.

Almost surely, 293442703312 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 93442703312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106846113792).

93442703312 is an abundant number, since it is smaller than the sum of its proper divisors (120249524272).

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

93442703312 is a wasteful number, since it uses less digits than its factorization.

93442703312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 93442703312 in words is "ninety-three billion, four hundred forty-two million, seven hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2371 3472 4742 9484 11351 16597 18968 22702 33194 37936 45404 66388 73501 79457 90808 132776 147002 158914 181616 265552 294004 317828 351881 514507 588008 635656 703762 1029014 1176016 1271312 1407524 2058028 2463167 2815048 4116056 4926334 5630096 8232112 9852668 19705336 26913221 39410672 53826442 107652884 188392547 215305768 376785094 430611536 753570188 834309851 1507140376 1668619702 3014280752 3337239404 5840168957 6674478808 11680337914 13348957616 23360675828 46721351656 93442703312