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293031672976 = 2472193332
BaseRepresentation
bin1000100001110100000…
…11000111110010010000
31001000100212210100010001
410100322003013302100
514300112102013401
6342341125415344
730112412060200
oct4207203076220
91030325710101
10293031672976
11103301816049
124895b86a554
132182c265293
141027b8ac400
157950a4e601
hex443a0c7c90

293031672976 has 45 divisors (see below), whose sum is σ = 660476722041. Its totient is φ = 125578506816.

The previous prime is 293031672971. The next prime is 293031673001. The reversal of 293031672976 is 679276130392.

The square root of 293031672976 is 541324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 275772019600 + 17259653376 = 525140^2 + 131376^2 .

It is a super-2 number, since 2×2930316729762 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (293031672971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15147406 + ... + 15166738.

Almost surely, 2293031672976 is an apocalyptic number.

293031672976 is the 541324-th square number.

It is an amenable number.

293031672976 is an abundant number, since it is smaller than the sum of its proper divisors (367445049065).

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

293031672976 is an frugal number, since it uses more digits than its factorization.

293031672976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38688 (or 19342 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 293031672976 in words is "two hundred ninety-three billion, thirty-one million, six hundred seventy-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 19333 38666 77332 135331 154664 270662 309328 541324 947317 1082648 1894634 2165296 3789268 7578536 15157072 373764889 747529778 1495059556 2616354223 2990119112 5232708446 5980238224 10465416892 18314479561 20930833784 36628959122 41861667568 73257918244 146515836488 293031672976