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4111041552 = 2431918792399
BaseRepresentation
bin1111010100001001…
…1000010000010000
3101121111122112211020
43311002120100100
531404411312202
61515533515440
7203606163612
oct36502302020
911544575736
104111041552
11181a637402
12968942b80
1350692cb87
142addbadb2
15190dab5bc
hexf5098410

4111041552 has 80 divisors (see below), whose sum is σ = 11189760000. Its totient is φ = 1296991872.

The previous prime is 4111041527. The next prime is 4111041553. The reversal of 4111041552 is 2551401114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4111041553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1712449 + ... + 1714847.

It is an arithmetic number, because the mean of its divisors is an integer number (139872000).

Almost surely, 24111041552 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 4111041552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594880000).

4111041552 is an abundant number, since it is smaller than the sum of its proper divisors (7078718448).

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

4111041552 is a wasteful number, since it uses less digits than its factorization.

4111041552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 4111041552 is about 64117.4044390445. The cubic root of 4111041552 is about 1601.9561428827.

Adding to 4111041552 its reverse (2551401114), we get a palindrome (6662442666).

The spelling of 4111041552 in words is "four billion, one hundred eleven million, forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1879 2399 3758 4798 5637 7197 7516 9596 11274 14394 15032 19192 22548 28788 30064 35701 38384 45096 45581 57576 71402 90192 91162 107103 115152 136743 142804 182324 214206 273486 285608 364648 428412 546972 571216 729296 856824 1093944 1713648 2187888 4507721 9015442 13523163 18030884 27046326 36061768 54092652 72123536 85646699 108185304 171293398 216370608 256940097 342586796 513880194 685173592 1027760388 1370347184 2055520776 4111041552