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31428656928 = 2532412661641
BaseRepresentation
bin11101010001010010…
…110011111100100000
310000010022120012020200
4131101102303330200
51003331214010203
622234345105200
72161555114254
oct352122637440
9100108505220
1031428656928
1112368726139
126111488200
132c6b368426
14174209a264
15c3e27e9a3
hex7514b3f20

31428656928 has 72 divisors (see below), whose sum is σ = 91555161516. Its totient is φ = 10220697600.

The previous prime is 31428656927. The next prime is 31428656947. The reversal of 31428656928 is 82965682413.

31428656928 is a `hidden beast` number, since 31 + 4 + 28 + 6 + 569 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30606802704 + 821854224 = 174948^2 + 28668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (31428656923) 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, 1319013 + ... + 1342628.

Almost surely, 231428656928 is an apocalyptic number.

It is an amenable number.

31428656928 is an abundant number, since it is smaller than the sum of its proper divisors (60126504588).

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

31428656928 is a wasteful number, since it uses less digits than its factorization.

31428656928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661698 (or 2661687 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 31428656928 in words is "thirty-one billion, four hundred twenty-eight million, six hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 2661641 5323282 7984923 10646564 15969846 21293128 23954769 31939692 42586256 47909538 63879384 85172512 95819076 109127281 127758768 191638152 218254562 255517536 327381843 383276304 436509124 654763686 766552608 873018248 982145529 1309527372 1746036496 1964291058 2619054744 3492072992 3928582116 5238109488 7857164232 10476218976 15714328464 31428656928