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1220656464048 = 243723167945823
BaseRepresentation
bin10001110000110100110…
…010111000000010110000
311022200201122111012121110
4101300310302320002300
5124444401023322143
62332432320153320
7154122001515210
oct21606462700260
94280648435543
101220656464048
1143074a82a28a
121786a3468840
138b151c9a8b8
1443119a94240
1521b433c9533
hex11c34cb80b0

1220656464048 has 160 divisors (see below), whose sum is σ = 3783053869056. Its totient is φ = 331597626624.

The previous prime is 1220656464037. The next prime is 1220656464073. The reversal of 1220656464048 is 8404646560221.

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 = 1220656463988 and 1220656464006.

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, 817665 + ... + 1763487.

Almost surely, 21220656464048 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 1220656464048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891526934528).

1220656464048 is an abundant number, since it is smaller than the sum of its proper divisors (2562397405008).

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

1220656464048 is a wasteful number, since it uses less digits than its factorization.

1220656464048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946031 (or 946025 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 1220656464048 in words is "one trillion, two hundred twenty billion, six hundred fifty-six million, four hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 167 168 184 276 322 334 336 368 483 501 552 644 668 966 1002 1104 1169 1288 1336 1932 2004 2338 2576 2672 3507 3841 3864 4008 4676 7014 7682 7728 8016 9352 11523 14028 15364 18704 23046 26887 28056 30728 46092 53774 56112 61456 80661 92184 107548 161322 184368 215096 322644 430192 645288 945823 1290576 1891646 2837469 3783292 5674938 6620761 7566584 11349876 13241522 15133168 19862283 21753929 22699752 26483044 39724566 43507858 45399504 52966088 65261787 79449132 87015716 105932176 130523574 152277503 157952441 158898264 174031432 261047148 304555006 315904882 317796528 348062864 456832509 473857323 522094296 609110012 631809764 913665018 947714646 1044188592 1105667087 1218220024 1263619528 1827330036 1895429292 2211334174 2436440048 2527239056 3317001261 3632906143 3654660072 3790858584 4422668348 6634002522 7265812286 7309320144 7581717168 8845336696 10898718429 13268005044 14531624572 17690673392 21797436858 25430343001 26536010088 29063249144 43594873716 50860686002 53072020176 58126498288 76291029003 87189747432 101721372004 152582058006 174379494864 203442744008 305164116012 406885488016 610328232024 1220656464048