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2144926836 = 2232138355219
BaseRepresentation
bin111111111011000…
…1111110001110100
312112111001120110200
41333312033301310
513343100124321
6552501120500
7104103402003
oct17766176164
95474046420
102144926836
11a00834308
124ba3b9130
132824bb0a0
14164c22c3a
15c848dd26
hex7fd8fc74

2144926836 has 72 divisors (see below), whose sum is σ = 5909423520. Its totient is φ = 652014144.

The previous prime is 2144926829. The next prime is 2144926841. The reversal of 2144926836 is 6386294412.

It is a super-2 number, since 2×21449268362 = 9201422263585941792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144926791 and 2144926800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11235 + ... + 66453.

Almost surely, 22144926836 is an apocalyptic number.

2144926836 is a gapful number since it is divisible by the number (26) 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 2144926836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954711760).

2144926836 is an abundant number, since it is smaller than the sum of its proper divisors (3764496684).

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

2144926836 is a wasteful number, since it uses less digits than its factorization.

2144926836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55325 (or 55320 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2144926836 is about 46313.3548342160. The cubic root of 2144926836 is about 1289.6469269891.

The spelling of 2144926836 in words is "two billion, one hundred forty-four million, nine hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 332 468 498 747 996 1079 1494 2158 2988 3237 4316 6474 9711 12948 19422 38844 55219 110438 165657 220876 331314 496971 662628 717847 993942 1435694 1987884 2153541 2871388 4307082 4583177 6460623 8614164 9166354 12921246 13749531 18332708 25842492 27499062 41248593 54998124 59581301 82497186 119162602 164994372 178743903 238325204 357487806 536231709 714975612 1072463418 2144926836