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220412542672 = 2475942179229
BaseRepresentation
bin1100110101000110011…
…1000111111011010000
3210001220221002021220101
43031101213013323100
512102401102331142
6245131153422144
721632012462140
oct3152147077320
9701827067811
10220412542672
1185527152683
123687386a954
1317a2830a3aa
14a94d0b4920
155b005300b7
hex33519c7ed0

220412542672 has 80 divisors (see below), whose sum is σ = 497513692800. Its totient is φ = 92639715840.

The previous prime is 220412542657. The next prime is 220412542687. The reversal of 220412542672 is 276245214022.

It is an interprime number because it is at equal distance from previous prime (220412542657) and next prime (220412542687).

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, 2742354 + ... + 2821582.

It is an arithmetic number, because the mean of its divisors is an integer number (6218921160).

Almost surely, 2220412542672 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 220412542672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248756846400).

220412542672 is an abundant number, since it is smaller than the sum of its proper divisors (277101150128).

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

220412542672 is a wasteful number, since it uses less digits than its factorization.

220412542672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79724 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

Adding to 220412542672 its reverse (276245214022), we get a palindrome (496657756694).

The spelling of 220412542672 in words is "two hundred twenty billion, four hundred twelve million, five hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 421 472 826 842 944 1652 1684 2947 3304 3368 5894 6608 6736 11788 23576 24839 47152 49678 79229 99356 158458 173873 198712 316916 347746 397424 554603 633832 695492 1109206 1267664 1390984 2218412 2781968 4436824 4674511 8873648 9349022 18698044 32721577 33355409 37396088 65443154 66710818 74792176 130886308 133421636 233487863 261772616 266843272 466975726 523545232 533686544 933951452 1867902904 1967969131 3735805808 3935938262 7871876524 13775783917 15743753048 27551567834 31487506096 55103135668 110206271336 220412542672