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134847676866432 = 2732572584952861
BaseRepresentation
bin11110101010010010101011…
…111000001101111110000000
3122200110022102110021111011110
4132222102223320031332000
5120133321020234211212
61154444100105043320
740255265066201325
oct3652225370157600
9580408373244143
10134847676866432
1139a6a640134a42
121315a472186540
135a321099b534a
14254293b822b4c
15108ca6e299a3c
hex7aa4abe0df80

134847676866432 has 128 divisors (see below), whose sum is σ = 359603587332000. Its totient is φ = 44771746775040.

The previous prime is 134847676866431. The next prime is 134847676866451. The reversal of 134847676866432 is 234668676748431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1348476768664323 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134847676866431) 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, 2550959682 + ... + 2551012542.

Almost surely, 2134847676866432 is an apocalyptic number.

134847676866432 is a gapful number since it is divisible by the number (12) 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 134847676866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179801793666000).

134847676866432 is an abundant number, since it is smaller than the sum of its proper divisors (224755910465568).

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

134847676866432 is a wasteful number, since it uses less digits than its factorization.

134847676866432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78984 (or 78972 counting only the distinct ones).

The product of its digits is 4682022912, while the sum is 75.

The spelling of 134847676866432 in words is "one hundred thirty-four trillion, eight hundred forty-seven billion, six hundred seventy-six million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 257 384 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 25849 32896 49344 51698 52861 77547 98688 103396 105722 155094 158583 206792 211444 310188 317166 413584 422888 620376 634332 827168 845776 1240752 1268664 1654336 1691552 2481504 2537328 3308672 3383104 4963008 5074656 6643193 6766208 9926016 10149312 13286386 13585277 19929579 20298624 26572772 27170554 39859158 40755831 53145544 54341108 79718316 81511662 106291088 108682216 159436632 163023324 212582176 217364432 318873264 326046648 425164352 434728864 637746528 652093296 850328704 869457728 1275493056 1304186592 1366403989 1738915456 2550986112 2608373184 2732807978 4099211967 5216746368 5465615956 8198423934 10931231912 16396847868 21862463824 32793695736 43724927648 65587391472 87449855296 131174782944 174899710592 262349565888 351165825173 524699131776 702331650346 1053497475519 1404663300692 2106994951038 2809326601384 4213989902076 5618653202768 8427979804152 11237306405536 16855959608304 22474612811072 33711919216608 44949225622144 67423838433216 134847676866432