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220612065570048 = 2831991916451251
BaseRepresentation
bin110010001010010100111111…
…110011010010110100000000
31001221010022022011110002021010
4302022110333303102310000
5212404002002241220143
62101111441145000520
764316460434004465
oct6212247763226400
91057108264402233
10220612065570048
1164326062740279
12208b011a483140
139613822b11c79
143c6997673166c
151a7895d166a33
hexc8a53fcd2d00

220612065570048 has 144 divisors (see below), whose sum is σ = 618725007219200. Its totient is φ = 69591156480000.

The previous prime is 220612065570019. The next prime is 220612065570097. The reversal of 220612065570048 is 840075560216022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 220612065569979 and 220612065570006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5184423 + ... + 21635673.

Almost surely, 2220612065570048 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 220612065570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309362503609600).

220612065570048 is an abundant number, since it is smaller than the sum of its proper divisors (398112941649152).

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

220612065570048 is a wasteful number, since it uses less digits than its factorization.

220612065570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452208 (or 16452194 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 220612065570048 in words is "two hundred twenty trillion, six hundred twelve billion, sixty-five million, five hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 919 1216 1824 1838 2432 2757 3648 3676 4864 5514 7296 7352 11028 14592 14704 17461 22056 29408 34922 44112 52383 58816 69844 88224 104766 117632 139688 176448 209532 235264 279376 352896 419064 558752 705792 838128 1117504 1676256 2235008 3352512 4470016 6705024 13410048 16451251 32902502 49353753 65805004 98707506 131610008 197415012 263220016 312573769 394830024 526440032 625147538 789660048 937721307 1052880064 1250295076 1579320096 1875442614 2105760128 2500590152 3158640192 3750885228 4211520256 5001180304 6317280384 7501770456 10002360608 12634560768 15003540912 15118699669 20004721216 30007081824 30237399338 40009442432 45356099007 60014163648 60474798676 80018884864 90712198014 120028327296 120949597352 181424396028 240056654592 241899194704 287255293711 362848792056 483798389408 574510587422 725697584112 861765881133 967596778816 1149021174844 1451395168224 1723531762266 1935193557632 2298042349688 2902790336448 3447063524532 3870387115264 4596084699376 5805580672896 6894127049064 9192169398752 11611161345792 13788254098128 18384338797504 27576508196256 36768677595008 55153016392512 73537355190016 110306032785024 220612065570048