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6105054032 = 2471123311361
BaseRepresentation
bin1011010111110001…
…11011101101010000
3120202110201212201022
411223320323231100
5100000343212112
62445444255012
7304201050230
oct55370735520
916673655638
106105054032
112653164500
1212246a1468
13763a8bb0c
1441cb57cc0
1525ae89d72
hex16be3bb50

6105054032 has 120 divisors (see below), whose sum is σ = 14914837056. Its totient is φ = 2369664000.

The previous prime is 6105054023. The next prime is 6105054041. The reversal of 6105054032 is 2304505016.

It is an interprime number because it is at equal distance from previous prime (6105054023) and next prime (6105054041).

It is a junction number, because it is equal to n+sod(n) for n = 6105053992 and 6105054010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485032 + ... + 4486392.

Almost surely, 26105054032 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 6105054032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457418528).

6105054032 is an abundant number, since it is smaller than the sum of its proper divisors (8809783024).

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

6105054032 is a wasteful number, since it uses less digits than its factorization.

6105054032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 6105054032 is about 78134.8451844630. The cubic root of 6105054032 is about 1827.6646164599.

Adding to 6105054032 its reverse (2304505016), we get a palindrome (8409559048).

The spelling of 6105054032 in words is "six billion, one hundred five million, fifty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 331 484 616 662 847 968 1232 1324 1361 1694 1936 2317 2648 2722 3388 3641 4634 5296 5444 6776 7282 9268 9527 10888 13552 14564 14971 18536 19054 21776 25487 29128 29942 37072 38108 40051 50974 58256 59884 76216 80102 101948 104797 119768 152432 160204 164681 203896 209594 239536 280357 320408 329362 407792 419188 450491 560714 640816 658724 838376 900982 1121428 1152767 1317448 1676752 1801964 2242856 2305534 2634896 3153437 3603928 4485712 4611068 4955401 6306874 7207856 9222136 9910802 12613748 18444272 19821604 25227496 34687807 39643208 50454992 54509411 69375614 79286416 109018822 138751228 218037644 277502456 381565877 436075288 555004912 763131754 872150576 1526263508 3052527016 6105054032