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93141347381320 = 23576111294830151
BaseRepresentation
bin10101001011011000101000…
…111011001011000001001000
3110012210020002122101111100111
4111023120220323023001020
544202011434412200240
6530032313322044104
725422145262611540
oct2513305073130110
9405706078344314
1093141347381320
1127750029452557
12a543500949634
133cc8264596a74
1419000cb140320
15ab7c482411ea
hex54b628ecb048

93141347381320 has 128 divisors (see below), whose sum is σ = 243648323366400. Its totient is φ = 31382836992000.

The previous prime is 93141347381287. The next prime is 93141347381323. The reversal of 93141347381320 is 2318374314139.

It is a super-3 number, since 3×931413473813203 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (93141347381323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16868245 + ... + 21698395.

It is an arithmetic number, because the mean of its divisors is an integer number (1903502526300).

Almost surely, 293141347381320 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 93141347381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121824161683200).

93141347381320 is an abundant number, since it is smaller than the sum of its proper divisors (150506975985080).

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

93141347381320 is a wasteful number, since it uses less digits than its factorization.

93141347381320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831359 (or 4831355 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 93141347381320 in words is "ninety-three trillion, one hundred forty-one billion, three hundred forty-seven million, three hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1129 1220 1708 2135 2258 2440 3416 4270 4516 5645 7903 8540 9032 11290 15806 17080 22580 31612 39515 45160 63224 68869 79030 137738 158060 275476 316120 344345 482083 550952 688690 964166 1377380 1928332 2410415 2754760 3856664 4820830 4830151 9641660 9660302 19283320 19320604 24150755 33811057 38641208 48301510 67622114 96603020 135244228 169055285 193206040 270488456 294639211 338110570 589278422 676221140 1178556844 1352442280 1473196055 2062474477 2357113688 2946392110 4124948954 5453240479 5892784220 8249897908 10312372385 10906480958 11785568440 16499795816 20624744770 21812961916 27266202395 38172683353 41249489540 43625923832 54532404790 76345366706 82498979080 109064809580 152690733412 190863416765 218129619160 305381466824 332647669219 381726833530 665295338438 763453667060 1330590676876 1526907334120 1663238346095 2328533684533 2661181353752 3326476692190 4657067369066 6652953384380 9314134738132 11642668422665 13305906768760 18628269476264 23285336845330 46570673690660 93141347381320