Search a number
-
+
16400133632 = 29191685869
BaseRepresentation
bin11110100011000011…
…00010111000000000
31120022221202002221202
433101201202320000
5232041413234012
611311211440332
71120260556451
oct172141427000
946287662852
1016400133632
116a564a2153
1232184560a8
1317149435ac
14b1816d128
1565ebd3cc2
hex3d1862e00

16400133632 has 40 divisors (see below), whose sum is σ = 34492900200. Its totient is φ = 7768479744.

The previous prime is 16400133623. The next prime is 16400133703. The reversal of 16400133632 is 23633100461.

It is a super-2 number, since 2×164001336322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16400133595 and 16400133604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833207 + ... + 852662.

It is an arithmetic number, because the mean of its divisors is an integer number (862322505).

Almost surely, 216400133632 is an apocalyptic number.

It is an amenable number.

16400133632 is an abundant number, since it is smaller than the sum of its proper divisors (18092766568).

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

16400133632 is an equidigital number, since it uses as much as digits as its factorization.

16400133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685906 (or 1685890 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 16400133632 in words is "sixteen billion, four hundred million, one hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 1685869 3371738 6743476 13486952 26973904 32031511 53947808 64063022 107895616 128126044 215791232 256252088 431582464 512504176 863164928 1025008352 2050016704 4100033408 8200066816 16400133632