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220772628048 = 2437739000841
BaseRepresentation
bin1100110110011100010…
…0101111011001010000
3210002212000122112011210
43031213010233121100
512104120243044143
6245231015340120
721643644242550
oct3154704573120
9702760575153
10220772628048
11856a14360a5
1236954381640
1317a84ab4c6b
14a984c49160
155b21e5c033
hex336712f650

220772628048 has 80 divisors (see below), whose sum is σ = 660733809536. Its totient is φ = 62213806080.

The previous prime is 220772627993. The next prime is 220772628157. The reversal of 220772628048 is 840826277022.

220772628048 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 220772627988 and 220772628006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4475893 + ... + 4524948.

Almost surely, 2220772628048 is an apocalyptic number.

220772628048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220772628048 is an abundant number, since it is smaller than the sum of its proper divisors (439961181488).

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

220772628048 is a wasteful number, since it uses less digits than its factorization.

220772628048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000932 (or 9000926 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 220772628048 in words is "two hundred twenty billion, seven hundred seventy-two million, six hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3066 3504 4088 6132 8176 12264 24528 9000841 18001682 27002523 36003364 54005046 63005887 72006728 108010092 126011774 144013456 189017661 216020184 252023548 378035322 432040368 504047096 657061393 756070644 1008094192 1314122786 1512141288 1971184179 2628245572 3024282576 3942368358 4599429751 5256491144 7884736716 9198859502 10512982288 13798289253 15769473432 18397719004 27596578506 31538946864 36795438008 55193157012 73590876016 110386314024 220772628048