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55768227968424 = 23337618911567887
BaseRepresentation
bin11001010111000100011010…
…11010101111010110101000
321022110101112200201200211110
430223202031122233112220
524302201312324442144
6314335323101230320
714514056451236526
oct1453421532572650
9238411480650743
1055768227968424
11168511998a4804
12630830a8623a0
132516bc9221b0a
14dab2a77d5316
1566a9d61b80b9
hex32b88d6af5a8

55768227968424 has 128 divisors (see below), whose sum is σ = 147171298291200. Its totient is φ = 17590590167040.

The previous prime is 55768227968393. The next prime is 55768227968449. The reversal of 55768227968424 is 42486972286755.

It is a super-3 number, since 3×557682279684243 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962992 + ... + 10604895.

It is an arithmetic number, because the mean of its divisors is an integer number (1149775767900).

Almost surely, 255768227968424 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 55768227968424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73585649145600).

55768227968424 is an abundant number, since it is smaller than the sum of its proper divisors (91403070322776).

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

55768227968424 is a wasteful number, since it uses less digits than its factorization.

55768227968424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568083 (or 11568079 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 75.

The spelling of 55768227968424 in words is "fifty-five trillion, seven hundred sixty-eight billion, two hundred twenty-seven million, nine hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 89 111 122 148 178 183 222 244 267 296 356 366 444 488 534 712 732 888 1068 1464 2136 2257 3293 4514 5429 6586 6771 9028 9879 10858 13172 13542 16287 18056 19758 21716 26344 27084 32574 39516 43432 54168 65148 79032 130296 200873 401746 602619 803492 1205238 1606984 2410476 4820952 11567887 23135774 34703661 46271548 69407322 92543096 138814644 277629288 428011819 705641107 856023638 1029541943 1284035457 1411282214 1712047276 2059083886 2116923321 2568070914 2822564428 3088625829 3424094552 4118167772 4233846642 5136141828 5645128856 6177251658 8236335544 8467693284 10272283656 12354503316 16935386568 24709006632 26108720959 38093051891 52217441918 62802058523 76186103782 78326162877 104434883836 114279155673 125604117046 152372207564 156652325754 188406175569 208869767672 228558311346 251208234092 304744415128 313304651508 376812351138 457116622692 502416468184 626609303016 753624702276 914233245384 1507249404552 2323676165351 4647352330702 6971028496053 9294704661404 13942056992106 18589409322808 27884113984212 55768227968424