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2123755936 = 25317392897
BaseRepresentation
bin111111010010101…
…1111000110100000
312111000012222110021
41332211133012200
513322140142221
6550423243224
7103425425161
oct17645370640
95430188407
102123755936
1199a8942a5
124b32a9514
1327acb7a23
141620b1768
15c66ab041
hex7e95f1a0

2123755936 has 48 divisors (see below), whose sum is σ = 4323352320. Its totient is φ = 1025879040.

The previous prime is 2123755903. The next prime is 2123755937. The reversal of 2123755936 is 6395573212.

It is a junction number, because it is equal to n+sod(n) for n = 2123755892 and 2123755901.

It is not an unprimeable number, because it can be changed into a prime (2123755937) 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 7 ways as a sum of consecutive naturals, for example, 731640 + ... + 734536.

It is an arithmetic number, because the mean of its divisors is an integer number (90069840).

Almost surely, 22123755936 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 2123755936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161676160).

2123755936 is an abundant number, since it is smaller than the sum of its proper divisors (2199596384).

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

2123755936 is a wasteful number, since it uses less digits than its factorization.

2123755936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3669 counting only the distinct ones).

The product of its digits is 340200, while the sum is 43.

The square root of 2123755936 is about 46084.2265422780. The cubic root of 2123755936 is about 1285.3898570304.

The spelling of 2123755936 in words is "two billion, one hundred twenty-three million, seven hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 739 992 1478 2897 2956 5794 5912 11588 11824 22909 23176 23648 45818 46352 89807 91636 92704 179614 183272 359228 366544 718456 733088 1436912 2140883 2873824 4281766 8563532 17127064 34254128 66367373 68508256 132734746 265469492 530938984 1061877968 2123755936