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2135920944 = 2432315712323
BaseRepresentation
bin111111101001111…
…1001000100110000
312111212010000201010
41333103321010300
513333243432234
6551540110520
7103634012523
oct17723710460
95455100633
102135920944
119a6743023
124b7395440
13280686b61
1416395abba
15c77b06e9
hex7f4f9130

2135920944 has 80 divisors (see below), whose sum is σ = 5794843392. Its totient is φ = 676625664.

The previous prime is 2135920933. The next prime is 2135920949. The reversal of 2135920944 is 4490295312.

It is a super-2 number, since 2×21359209442 = 9124316558035702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135920949) 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 15 ways as a sum of consecutive naturals, for example, 167167 + ... + 179489.

Almost surely, 22135920944 is an apocalyptic number.

2135920944 is a gapful number since it is divisible by the number (24) 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 2135920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897421696).

2135920944 is an abundant number, since it is smaller than the sum of its proper divisors (3658922448).

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

2135920944 is a wasteful number, since it uses less digits than its factorization.

2135920944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2135920944 is about 46216.0247533256. The cubic root of 2135920944 is about 1287.8394505592.

The spelling of 2135920944 in words is "two billion, one hundred thirty-five million, nine hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 157 184 276 314 368 471 552 628 942 1104 1256 1884 2512 3611 3768 7222 7536 10833 12323 14444 21666 24646 28888 36969 43332 49292 57776 73938 86664 98584 147876 173328 197168 283429 295752 566858 591504 850287 1133716 1700574 1934711 2267432 3401148 3869422 4534864 5804133 6802296 7738844 11608266 13604592 15477688 23216532 30955376 44498353 46433064 88996706 92866128 133495059 177993412 266990118 355986824 533980236 711973648 1067960472 2135920944