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73650903769 = 101226872
BaseRepresentation
bin100010010010111101…
…1111001101011011001
321001002212011120022201
41010211323321223121
52201314112410034
653500150250201
75215065231652
oct1044573715331
9231085146281
1073650903769
1129265019113
1212335656961
136c3993b341
1437c9856529
151db0dca014
hex1125ef9ad9

73650903769 has 9 divisors (see below), whose sum is σ = 74415035071. Its totient is φ = 72894548200.

The previous prime is 73650903757. The next prime is 73650903803. The reversal of 73650903769 is 96730905637.

The square root of 73650903769 is 271387.

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., 70762916169 + 2887987600 = 266013^2 + 53740^2 .

It is not a de Polignac number, because 73650903769 - 211 = 73650901721 is a prime.

It is a super-2 number, since 2×736509037692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73650903719) 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, 27408744 + ... + 27411430.

Almost surely, 273650903769 is an apocalyptic number.

73650903769 is the 271387-th square number.

73650903769 is the 135694-th centered octagonal number.

It is an amenable number.

73650903769 is a deficient number, since it is larger than the sum of its proper divisors (764131302).

73650903769 is an frugal number, since it uses more digits than its factorization.

73650903769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 55.

The spelling of 73650903769 in words is "seventy-three billion, six hundred fifty million, nine hundred three thousand, seven hundred sixty-nine".

Divisors: 1 101 2687 10201 271387 7219969 27410087 729216869 73650903769