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55711194101376 = 27311119311055493
BaseRepresentation
bin11001010101011010001011…
…11011110011011010000000
321022020221022220110001120020
430222231011323303122000
524300233011142221001
6314253211431413440
714510000216332002
oct1452550573633200
9238227286401506
1055711194101376
1116829a917562a0
1262b9252224280
13251170a14bca8
14da8616c50372
15669299069736
hex32ab45ef3680

55711194101376 has 128 divisors (see below), whose sum is σ = 161571180392640. Its totient is φ = 16868027473920.

The previous prime is 55711194101341. The next prime is 55711194101417. The reversal of 55711194101376 is 67310149111755.

55711194101376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 488515 + ... + 10566978.

Almost surely, 255711194101376 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 55711194101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80785590196320).

55711194101376 is an abundant number, since it is smaller than the sum of its proper divisors (105859986291264).

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

55711194101376 is a wasteful number, since it uses less digits than its factorization.

55711194101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11056714 (or 11056702 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 51.

The spelling of 55711194101376 in words is "fifty-five trillion, seven hundred eleven billion, one hundred ninety-four million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1193 1408 2112 2386 3579 4224 4772 7158 9544 13123 14316 19088 26246 28632 38176 39369 52492 57264 76352 78738 104984 114528 152704 157476 209968 229056 314952 419936 458112 629904 839872 1259808 1679744 2519616 5039232 11055493 22110986 33166479 44221972 66332958 88443944 121610423 132665916 176887888 243220846 265331832 353775776 364831269 486441692 530663664 707551552 729662538 972883384 1061327328 1415103104 1459325076 1945766768 2122654656 2918650152 3891533536 4245309312 5837300304 7783067072 11674600608 13189203149 15566134144 23349201216 26378406298 39567609447 46698402432 52756812596 79135218894 105513625192 145081234639 158270437788 211027250384 290162469278 316540875576 422054500768 435243703917 580324938556 633081751152 844109001536 870487407834 1160649877112 1266163502304 1688218003072 1740974815668 2321299754224 2532327004608 3481949631336 4642599508448 5064654009216 6963899262672 9285199016896 13927798525344 18570398033792 27855597050688 55711194101376