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3076145024850 = 2325288324173203
BaseRepresentation
bin101100110000111000100…
…010000000111101010010
3101220002001211120022200200
4230300320202000331102
5400344421111243400
610313054515400030
7435146512201062
oct54607042007522
911802054508620
103076145024850
11a86649742987
124182168b3016
131941050bc821
14a8c59aad3a2
155503e587b00
hex2cc38880f52

3076145024850 has 144 divisors (see below), whose sum is σ = 8279943433632. Its totient is φ = 818781626880.

The previous prime is 3076145024783. The next prime is 3076145024867. The reversal of 3076145024850 is 584205416703.

3076145024850 is a `hidden beast` number, since 3 + 0 + 7 + 61 + 4 + 502 + 4 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3076145024796 and 3076145024805.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 960393349 + ... + 960396551.

It is an arithmetic number, because the mean of its divisors is an integer number (57499607178).

Almost surely, 23076145024850 is an apocalyptic number.

3076145024850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3076145024850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139971716816).

3076145024850 is an abundant number, since it is smaller than the sum of its proper divisors (5203798408782).

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

3076145024850 is a wasteful number, since it uses less digits than its factorization.

3076145024850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3076145024850 in words is "three trillion, seventy-six billion, one hundred forty-five million, twenty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 883 1766 2417 2649 3203 4415 4834 5298 6406 7251 7947 8830 9609 12085 13245 14502 15894 16015 19218 21753 22075 24170 26490 28827 32030 36255 39735 43506 44150 48045 57654 60425 66225 72510 79470 80075 96090 108765 120850 132450 144135 160150 181275 198675 217530 240225 288270 362550 397350 480450 543825 720675 1087650 1441350 2134211 2828249 4268422 5656498 6402633 7741651 8484747 10671055 12805266 14141245 15483302 16969494 19207899 21342110 23224953 25454241 28282490 32013165 38415798 38708255 42423735 46449906 50908482 53355275 64026330 69674859 70706225 77416510 84847470 96039495 106710550 116124765 127271205 139349718 141412450 160065825 192078990 193541275 212118675 232249530 254542410 320131650 348374295 387082550 424237350 480197475 580623825 636356025 696748590 960394950 1161247650 1272712050 1741871475 3483742950 6835877833 13671755666 20507633499 34179389165 41015266998 61522900497 68358778330 102538167495 123045800994 170896945825 205076334990 307614502485 341793891650 512690837475 615229004970 1025381674950 1538072512425 3076145024850