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2573140968 = 2332191880951
BaseRepresentation
bin1001100101011111…
…0000001111101000
320122022211002211100
42121113300033220
520232211002333
61103155201400
7120523223466
oct23127601750
96568732740
102573140968
11110051a992
125b98a6260
1332012a828
141a5a4d836
15100d77213
hex995f03e8

2573140968 has 48 divisors (see below), whose sum is σ = 7335712800. Its totient is φ = 812570400.

The previous prime is 2573140951. The next prime is 2573141003. The reversal of 2573140968 is 8690413752.

2573140968 is a `hidden beast` number, since 2 + 573 + 14 + 0 + 9 + 68 = 666.

2573140968 is digitally balanced in base 2, base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×25731409683 (a number of 29 digits) contains 333 as substring.

2573140968 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939108 + ... + 941843.

It is an arithmetic number, because the mean of its divisors is an integer number (152827350).

It is a 1-persistent number, because it is pandigital, but 2⋅2573140968 = 5146281936 is not.

Almost surely, 22573140968 is an apocalyptic number.

It is an amenable number.

2573140968 is an abundant number, since it is smaller than the sum of its proper divisors (4762571832).

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

2573140968 is a wasteful number, since it uses less digits than its factorization.

2573140968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880982 (or 1880975 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2573140968 is about 50726.1369315662. The cubic root of 2573140968 is about 1370.3174656338.

The spelling of 2573140968 in words is "two billion, five hundred seventy-three million, one hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1880951 3761902 5642853 7523804 11285706 15047608 16928559 22571412 33857118 35738069 45142824 67714236 71476138 107214207 135428472 142952276 214428414 285904552 321642621 428856828 643285242 857713656 1286570484 2573140968