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1293016968 = 233229619261
BaseRepresentation
bin100110100010001…
…1101111110001000
310100010001001211100
41031010131332020
510122003020333
6332145501400
744020314525
oct11504357610
93303031740
101293016968
11603968871
12301041860
13177b616c9
14c3a2414c
15787b1213
hex4d11df88

1293016968 has 48 divisors (see below), whose sum is σ = 3622682700. Its totient is φ = 416142720.

The previous prime is 1293016943. The next prime is 1293016993. The reversal of 1293016968 is 8696103921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1293016943) and next prime (1293016993).

It can be written as a sum of positive squares in 2 ways, for example, as 1292977764 + 39204 = 35958^2 + 198^2 .

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, 307543 + ... + 311718.

Almost surely, 21293016968 is an apocalyptic number.

1293016968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1293016968 is an abundant number, since it is smaller than the sum of its proper divisors (2329665732).

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

1293016968 is a wasteful number, since it uses less digits than its factorization.

1293016968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619302 (or 619295 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1293016968 is about 35958.5451318598. The cubic root of 1293016968 is about 1089.4352117096.

The spelling of 1293016968 in words is "one billion, two hundred ninety-three million, sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 619261 1238522 1857783 2477044 3715566 4954088 5573349 7431132 11146698 14862264 17958569 22293396 35917138 44586792 53875707 71834276 107751414 143668552 161627121 215502828 323254242 431005656 646508484 1293016968