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1220360766044 = 227331237712071
BaseRepresentation
bin10001110000100011001…
…010111000001001011100
311022122222001002012012112
4101300203022320021130
5124443244324003134
62332343114253152
7154111451234000
oct21604312701134
94278861065175
101220360766044
11430608923a72
121786204271b8
138b105947c74
14430cc6c0700
1521b2746a1ce
hex11c232b825c

1220360766044 has 96 divisors (see below), whose sum is σ = 2572166553600. Its totient is φ = 505885564800.

The previous prime is 1220360766029. The next prime is 1220360766049. The reversal of 1220360766044 is 4406670630221.

It is a junction number, because it is equal to n+sod(n) for n = 1220360765992 and 1220360766010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220360766049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101092529 + ... + 101104599.

It is an arithmetic number, because the mean of its divisors is an integer number (26793401600).

Almost surely, 21220360766044 is an apocalyptic number.

1220360766044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220360766044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286083276800).

1220360766044 is an abundant number, since it is smaller than the sum of its proper divisors (1351805787556).

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

1220360766044 is a wasteful number, since it uses less digits than its factorization.

1220360766044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 14488 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 1220360766044 in words is "one trillion, two hundred twenty billion, three hundred sixty million, seven hundred sixty-six thousand, forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 1372 1519 2377 3038 4754 6076 9508 10633 12071 16639 21266 24142 33278 42532 48284 66556 73687 84497 116473 147374 168994 232946 294748 337988 374201 465892 515809 591479 748402 815311 1031618 1182958 1496804 1630622 2063236 2365916 2619407 3261244 3610663 4140353 5238814 7221326 8280706 10477628 14442652 16561412 18335849 25274641 28692767 36671698 50549282 57385534 73343396 101098564 114771068 128350943 200849369 256701886 401698738 513403772 803397476 889475777 1405945583 1778951554 2811891166 3557903108 5623782332 6226330439 9841619081 12452660878 19683238162 24905321756 39366476324 43584313073 87168626146 174337252292 305090191511 610180383022 1220360766044