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3551145642 = 23211291314721
BaseRepresentation
bin1101001110101010…
…0010111010101010
3100011111002220000200
43103222202322222
524233043130032
61344213213030
7154000145202
oct32352427252
910144086020
103551145642
111562590310
12831331176
13447936315
142598b3402
1515bb6147c
hexd3aa2eaa

3551145642 has 96 divisors (see below), whose sum is σ = 8751188160. Its totient is φ = 1030848000.

The previous prime is 3551145641. The next prime is 3551145659. The reversal of 3551145642 is 2465411553.

3551145642 is a `hidden beast` number, since 3 + 5 + 5 + 1 + 1 + 4 + 5 + 642 = 666.

It is a super-2 number, since 2×35511456422 = 25221270741391184328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3551145597 and 3551145606.

It is not an unprimeable number, because it can be changed into a prime (3551145641) 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 47 ways as a sum of consecutive naturals, for example, 749842 + ... + 754562.

It is an arithmetic number, because the mean of its divisors is an integer number (91158210).

Almost surely, 23551145642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3551145642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375594080).

3551145642 is an abundant number, since it is smaller than the sum of its proper divisors (5200042518).

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

3551145642 is a wasteful number, since it uses less digits than its factorization.

3551145642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4897 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 3551145642 is about 59591.4896776377. The cubic root of 3551145642 is about 1525.6543843223.

The spelling of 3551145642 in words is "three billion, five hundred fifty-one million, one hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 131 174 198 261 262 319 393 522 638 786 957 1179 1441 1914 2358 2871 2882 3799 4323 4721 5742 7598 8646 9442 11397 12969 14163 22794 25938 28326 34191 41789 42489 51931 68382 83578 84978 103862 125367 136909 155793 250734 273818 311586 376101 410727 467379 618451 752202 821454 934758 1232181 1236902 1505999 1855353 2464362 3011998 3710706 4517997 5566059 6802961 9035994 11132118 13553991 13605922 17935079 20408883 27107982 35870158 40817766 53805237 61226649 107610474 122453298 161415711 197285869 322831422 394571738 591857607 1183715214 1775572821 3551145642