Search a number
-
+
1556144261364 = 2237111993845027
BaseRepresentation
bin10110101001010001011…
…011010000100011110100
312111202200100222010102010
4112221101123100203310
5200443440412330424
63150514404044220
7220266463655520
oct26512133204364
95452610863363
101556144261364
1154aa589599a0
12211711693670
13b39890c1c34
1455463ddcd80
152a72b371229
hex16a516d08f4

1556144261364 has 96 divisors (see below), whose sum is σ = 4529241916416. Its totient is φ = 403990030080.

The previous prime is 1556144261327. The next prime is 1556144261377. The reversal of 1556144261364 is 4631624416551.

It is a super-2 number, since 2×15561442613642 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1419019 + ... + 2264045.

It is an arithmetic number, because the mean of its divisors is an integer number (47179603296).

Almost surely, 21556144261364 is an apocalyptic number.

1556144261364 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 1556144261364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264620958208).

1556144261364 is an abundant number, since it is smaller than the sum of its proper divisors (2973097655052).

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

1556144261364 is a wasteful number, since it uses less digits than its factorization.

1556144261364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847045 (or 847043 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 1556144261364 in words is "one trillion, five hundred fifty-six billion, one hundred forty-four million, two hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1993 3986 5979 7972 11958 13951 21923 23916 27902 41853 43846 55804 65769 83706 87692 131538 153461 167412 263076 306922 460383 613844 845027 920766 1690054 1841532 2535081 3380108 5070162 5915189 9295297 10140324 11830378 17745567 18590594 23660756 27885891 35491134 37181188 55771782 65067079 70982268 111543564 130134158 195201237 260268316 390402474 780804948 1684138811 3368277622 5052416433 6736555244 10104832866 11788971677 18525526921 20209665732 23577943354 35366915031 37051053842 47155886708 55576580763 70733830062 74102107684 111153161526 129678688447 141467660124 222306323052 259357376894 389036065341 518714753788 778072130682 1556144261364