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55128797698224 = 2437929399150069
BaseRepresentation
bin11001000100011101011000…
…11001110101100010110000
321020012021001200212101012110
430202032230121311202300
524211212234202320344
6313125453043325320
714416631666514525
oct1442165431654260
9236167050771173
1055128797698224
1116624aa0106648
1262243b6980840
13249b81456c9a3
14d883688cb14c
1565905e8a23b9
hex3223ac6758b0

55128797698224 has 160 divisors (see below), whose sum is σ = 144859928371200. Its totient is φ = 18063124485120.

The previous prime is 55128797698223. The next prime is 55128797698253. The reversal of 55128797698224 is 42289679782155.

It is not an unprimeable number, because it can be changed into a prime (55128797698223) 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, 1101031462 + ... + 1101081530.

It is an arithmetic number, because the mean of its divisors is an integer number (905374552320).

Almost surely, 255128797698224 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 55128797698224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72429964185600).

55128797698224 is an abundant number, since it is smaller than the sum of its proper divisors (89731130672976).

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

55128797698224 is a wasteful number, since it uses less digits than its factorization.

55128797698224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51443 (or 51437 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 75.

The spelling of 55128797698224 in words is "fifty-five trillion, one hundred twenty-eight billion, seven hundred ninety-seven million, six hundred ninety-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 293 316 474 586 632 879 948 991 1172 1264 1758 1896 1982 2344 2973 3516 3792 3964 4688 5946 7032 7928 11892 14064 15856 23147 23784 46294 47568 50069 69441 78289 92588 100138 138882 150207 156578 185176 200276 234867 277764 290363 300414 313156 370352 400552 469734 555528 580726 600828 626312 801104 871089 939468 1111056 1161452 1201656 1252624 1742178 1878936 2322904 2403312 3484356 3757872 3955451 4645808 6968712 7910902 11866353 13937424 14670217 15821804 22938677 23732706 29340434 31643608 44010651 45877354 47465412 49618379 58680868 63287216 68816031 88021302 91754708 94930824 99236758 117361736 137632062 148855137 176042604 183509416 189861648 198473516 234723472 275264124 297710274 352085208 367018832 396947032 550528248 595420548 704170416 793894064 1101056496 1158947143 1190841096 2317894286 2381682192 3476841429 3919851941 4635788572 6953682858 7839703882 9271577144 11759555823 13907365716 14538185047 15679407764 18543154288 23519111646 27814731432 29076370094 31358815528 43614555141 47038223292 55629462864 58152740188 62717631056 87229110282 94076446584 116305480376 174458220564 188152893168 232610960752 348916441128 697832882256 1148516618713 2297033237426 3445549856139 4594066474852 6891099712278 9188132949704 13782199424556 18376265899408 27564398849112 55128797698224