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4132430064 = 2432713672999
BaseRepresentation
bin1111011001001111…
…1110000011110000
3101122222220012100100
43312103332003300
531430400230224
61522020152400
7204256035030
oct36623760360
911588805310
104132430064
111830715964
12973b38700
1350b1ab2b9
142b2b878c0
15192bd3ac9
hexf64fe0f0

4132430064 has 120 divisors (see below), whose sum is σ = 13231296000. Its totient is φ = 1179437184.

The previous prime is 4132430047. The next prime is 4132430083. The reversal of 4132430064 is 4600342314.

4132430064 is a `hidden beast` number, since 413 + 243 + 0 + 0 + 6 + 4 = 666.

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, 1376437 + ... + 1379435.

It is an arithmetic number, because the mean of its divisors is an integer number (110260800).

Almost surely, 24132430064 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 4132430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648000).

4132430064 is an abundant number, since it is smaller than the sum of its proper divisors (9098865936).

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

4132430064 is a wasteful number, since it uses less digits than its factorization.

4132430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4132430064 is about 64283.9798394592. The cubic root of 4132430064 is about 1604.7295040117.

Adding to 4132430064 its reverse (4600342314), we get a palindrome (8732772378).

The spelling of 4132430064 in words is "four billion, one hundred thirty-two million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1367 2734 2999 4101 5468 5998 8202 8997 9569 10936 11996 12303 16404 17994 19138 20993 21872 23992 24606 26991 28707 32808 35988 38276 41986 47984 49212 53982 57414 62979 65616 71976 76552 83972 86121 98424 107964 114828 125958 143952 153104 167944 172242 188937 196848 215928 229656 251916 335888 344484 377874 431856 459312 503832 688968 755748 1007664 1377936 1511496 3022992 4099633 8199266 12298899 16398532 24597798 28697431 32797064 36896697 49195596 57394862 65594128 73793394 86092293 98391192 114789724 147586788 172184586 196782384 229579448 258276879 295173576 344369172 459158896 516553758 590347152 688738344 1033107516 1377476688 2066215032 4132430064