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4112537472 = 27324187071
BaseRepresentation
bin1111010100100000…
…0101011110000000
3101121121110112211200
43311020011132000
531410302144342
61520025541200
7203624664111
oct36510053600
911547415750
104112537472
1118204692aa
12969344800
13507034a34
142b028a208
151910a494c
hexf5205780

4112537472 has 96 divisors (see below), whose sum is σ = 12123034560. Its totient is φ = 1337395200.

The previous prime is 4112537447. The next prime is 4112537483. The reversal of 4112537472 is 2747352114.

4112537472 is a `hidden beast` number, since 4 + 112 + 537 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 3697 + ... + 90767.

It is an arithmetic number, because the mean of its divisors is an integer number (126281610).

Almost surely, 24112537472 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 4112537472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061517280).

4112537472 is an abundant number, since it is smaller than the sum of its proper divisors (8010497088).

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

4112537472 is a wasteful number, since it uses less digits than its factorization.

4112537472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87132 (or 87117 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4112537472 is about 64129.0688533679. The cubic root of 4112537472 is about 1602.1504251666.

Adding to 4112537472 its reverse (2747352114), we get a palindrome (6859889586).

The spelling of 4112537472 in words is "four billion, one hundred twelve million, five hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 47232 87071 174142 261213 348284 522426 696568 783639 1044852 1393136 1567278 2089704 2786272 3134556 3569911 4179408 5572544 6269112 7139822 8358816 10709733 11145088 12538224 14279644 16717632 21419466 25076448 28559288 32129199 33435264 42838932 50152896 57118576 64258398 85677864 100305792 114237152 128516796 171355728 228474304 257033592 342711456 456948608 514067184 685422912 1028134368 1370845824 2056268736 4112537472