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5977320426200 = 23521311116120441
BaseRepresentation
bin101011011111011010000…
…0011111000101011011000
3210011102111201220211102102
41112332310003320223120
51240413023012114300
620413535413022532
71154563400213564
oct126766403705330
923142451824372
105977320426200
1119a4a70608a32
12806540624a48
133448747a0b46
14169437ab06a4
15a573cd6e0d5
hex56fb40f8ad8

5977320426200 has 96 divisors (see below), whose sum is σ = 14005295813520. Its totient is φ = 2372348160000.

The previous prime is 5977320426191. The next prime is 5977320426221. The reversal of 5977320426200 is 26240237795.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292407980 + ... + 292428420.

Almost surely, 25977320426200 is an apocalyptic number.

5977320426200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977320426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002647906760).

5977320426200 is an abundant number, since it is smaller than the sum of its proper divisors (8027975387320).

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

5977320426200 is a wasteful number, since it uses less digits than its factorization.

5977320426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31749 (or 31740 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 5977320426200 in words is "five trillion, nine hundred seventy-seven billion, three hundred twenty million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 524 655 1048 1310 2620 3275 5240 6550 11161 13100 20441 22322 26200 40882 44644 55805 81764 89288 102205 111610 163528 204410 223220 279025 408820 446440 511025 558050 817640 1022050 1116100 1462091 2044100 2232200 2677771 2924182 4088200 5355542 5848364 7310455 10711084 11696728 13388855 14620910 21422168 26777710 29241820 36552275 53555420 58483640 66944275 73104550 107110840 133888550 146209100 228142001 267777100 292418200 456284002 535554200 912568004 1140710005 1825136008 2281420010 4562840020 5703550025 9125680040 11407100050 22814200100 29886602131 45628400200 59773204262 119546408524 149433010655 239092817048 298866021310 597732042620 747165053275 1195464085240 1494330106550 2988660213100 5977320426200