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2064537432 = 233271403861
BaseRepresentation
bin111101100001110…
…0101011101011000
312022212210100221100
41323003211131120
513212010144212
6540510111400
7102106164366
oct17303453530
95285710840
102064537432
1196a417591
124974ab560
1326b9526a9
14158298636
15c13aebdc
hex7b0e5758

2064537432 has 48 divisors (see below), whose sum is σ = 5670222480. Its totient is φ = 678484800.

The previous prime is 2064537413. The next prime is 2064537437. The reversal of 2064537432 is 2347354602.

2064537432 is a `hidden beast` number, since 2 + 0 + 645 + 3 + 7 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064537437) 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 11 ways as a sum of consecutive naturals, for example, 196819 + ... + 207042.

It is an arithmetic number, because the mean of its divisors is an integer number (118129635).

Almost surely, 22064537432 is an apocalyptic number.

It is an amenable number.

2064537432 is an abundant number, since it is smaller than the sum of its proper divisors (3605685048).

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

2064537432 is a wasteful number, since it uses less digits than its factorization.

2064537432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403944 (or 403937 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2064537432 is about 45437.1811625677. The cubic root of 2064537432 is about 1273.3298510240.

It can be divided in two parts, 2064537 and 432, that added together give a square (2064969 = 14372).

The spelling of 2064537432 in words is "two billion, sixty-four million, five hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 403861 807722 1211583 1615444 2423166 3230888 3634749 4846332 7269498 9692664 14538996 28674131 29077992 57348262 86022393 114696524 172044786 229393048 258067179 344089572 516134358 688179144 1032268716 2064537432