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2946975031 = 7111319891741
BaseRepresentation
bin1010111110100111…
…0100010100110111
321121101020211202101
42233221310110313
522013411200111
61204231522531
7133012605640
oct25751642467
97541224671
102946975031
111282543a60
126a2b29447
1337c70a310
141dd5626c7
15123abcbc1
hexafa74537

2946975031 has 64 divisors (see below), whose sum is σ = 4214246400. Its totient is φ = 1984435200.

The previous prime is 2946974977. The next prime is 2946975089. The reversal of 2946975031 is 1305796492.

It is a happy number.

It is not a de Polignac number, because 2946975031 - 211 = 2946972983 is a prime.

It is a super-2 number, since 2×29469750312 = 17369323666674901922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946975931) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1691821 + ... + 1693561.

It is an arithmetic number, because the mean of its divisors is an integer number (65847600).

Almost surely, 22946975031 is an apocalyptic number.

2946975031 is a deficient number, since it is larger than the sum of its proper divisors (1267271369).

2946975031 is a wasteful number, since it uses less digits than its factorization.

2946975031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 2946975031 is about 54286.0482168301. The cubic root of 2946975031 is about 1433.7017611703.

The spelling of 2946975031 in words is "two billion, nine hundred forty-six million, nine hundred seventy-five thousand, thirty-one".

Divisors: 1 7 11 13 19 77 89 91 133 143 209 247 623 979 1001 1157 1463 1691 1729 1741 2717 6853 8099 11837 12187 12727 18601 19019 19151 21983 22633 33079 89089 130207 134057 153881 154949 158431 231553 241813 248963 363869 430027 1084643 1692691 1704439 1742741 2014337 2547083 2944031 3010189 4730297 11931073 14100359 20608217 22157707 32384341 33112079 38272403 155103949 226690387 267906821 420996433 2946975031